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534580871008016 = 2471091572271228693
BaseRepresentation
bin111100110001100101100111…
…0111010111000111100010000
32121002210102200001020200110102
41321203023032322320330100
51030032033110434224031
65132543021204351532
7220413123221560310
oct17143131672707420
92532712601220412
10534580871008016
1114537452420a1a8
124bb594300a55a8
1319c399b54666a1
149601bd0675440
1541c0a1de857cb
hex1e632ceeb8f10

534580871008016 has 160 divisors (see below), whose sum is σ = 1207480254055680. Its totient is φ = 224564478547968.

The previous prime is 534580871008007. The next prime is 534580871008141. The reversal of 534580871008016 is 610800178085435.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434466566 + ... + 435695258.

It is an arithmetic number, because the mean of its divisors is an integer number (7546751587848).

Almost surely, 2534580871008016 is an apocalyptic number.

534580871008016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534580871008016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603740127027840).

534580871008016 is an abundant number, since it is smaller than the sum of its proper divisors (672899383047664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

534580871008016 is a wasteful number, since it uses less digits than its factorization.

534580871008016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229201 (or 1229195 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 534580871008016 in words is "five hundred thirty-four trillion, five hundred eighty billion, eight hundred seventy-one million, eight thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 109 112 157 218 227 314 436 454 628 763 872 908 1099 1256 1526 1589 1744 1816 2198 2512 3052 3178 3632 4396 6104 6356 8792 12208 12712 17113 17584 24743 25424 34226 35639 49486 68452 71278 98972 119791 136904 142556 173201 197944 239582 249473 273808 285112 346402 395888 479164 498946 570224 692804 958328 997892 1228693 1385608 1916656 1995784 2457386 2771216 3884651 3991568 4914772 7769302 8600851 9829544 15538604 17201702 19659088 27192557 31077208 34403404 54385114 62154416 68806808 108770228 133927537 137613616 192904801 217540456 267855074 278913311 385809602 435080912 535710148 557826622 771619204 937492759 1071420296 1115653244 1350333607 1543238408 1874985518 1952393177 2142840592 2231306488 2700667214 3086476816 3749971036 3904786354 4462612976 5401334428 7499942072 7809572708 10802668856 14999884144 15619145416 21026623309 21605337712 30401550899 31238290832 42053246618 43789389827 60803101798 84106493236 87578779654 121606203596 147186363163 168212986472 175157559308 212810856293 243212407192 294372726326 306525728789 336425972944 350315118616 425621712586 486424814384 588745452652 613051457578 700630237232 851243425172 1177490905304 1226102915156 1702486850344 2354981810608 2452205830312 3404973700688 4773043491143 4904411660624 9546086982286 19092173964572 33411304438001 38184347929144 66822608876002 76368695858288 133645217752004 267290435504008 534580871008016