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5454873536 = 267411312267
BaseRepresentation
bin1010001010010001…
…01100001111000000
3112002011022021202012
411011020230033000
542132421423121
62301140512052
7252114442250
oct50510541700
915064267665
105454873536
11234a152252
1210829ab628
1368c173928
1439a66b960
1521dd58c5b
hex14522c3c0

5454873536 has 112 divisors (see below), whose sum is σ = 12774972672. Its totient is φ = 2262374400.

The previous prime is 5454873527. The next prime is 5454873559. The reversal of 5454873536 is 6353784545.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405075 + ... + 2407341.

It is an arithmetic number, because the mean of its divisors is an integer number (114062256).

Almost surely, 25454873536 is an apocalyptic number.

5454873536 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 5454873536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387486336).

5454873536 is an abundant number, since it is smaller than the sum of its proper divisors (7320099136).

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

5454873536 is a wasteful number, since it uses less digits than its factorization.

5454873536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2448 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 50.

The square root of 5454873536 is about 73857.1156761486. The cubic root of 5454873536 is about 1760.3332633375. Note that the first 3 decimals are identical.

The spelling of 5454873536 in words is "five billion, four hundred fifty-four million, eight hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 131 164 224 262 287 328 448 524 574 656 917 1048 1148 1312 1834 2096 2267 2296 2624 3668 4192 4534 4592 5371 7336 8384 9068 9184 10742 14672 15869 18136 18368 21484 29344 31738 36272 37597 42968 58688 63476 72544 75194 85936 92947 126952 145088 150388 171872 185894 253904 296977 300776 343744 371788 507808 593954 601552 650629 743576 1015616 1187908 1203104 1301258 1487152 2078839 2375816 2406208 2602516 2974304 4157678 4751632 5205032 5948608 8315356 9503264 10410064 12176057 16630712 19006528 20820128 24352114 33261424 41640256 48704228 66522848 85232399 97408456 133045696 170464798 194816912 340929596 389633824 681859192 779267648 1363718384 2727436768 5454873536