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1354843448832 = 2934338572377
BaseRepresentation
bin10011101101110010111…
…101100110011000000000
311210112002100222022120210
4103231302331212120000
5134144204410330312
62514223445034120
7166612166205246
oct23556275463000
94715070868523
101354843448832
11482649896015
1219a6b23b5940
139a9b8442003
1449809268796
1525398aeae3c
hex13b72f66600

1354843448832 has 160 divisors (see below), whose sum is σ = 3623468520672. Its totient is φ = 449856405504.

The previous prime is 1354843448813. The next prime is 1354843448851. The reversal of 1354843448832 is 2388443484531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1354843448813) and next prime (1354843448851).

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, 569979228 + ... + 569981604.

Almost surely, 21354843448832 is an apocalyptic number.

1354843448832 is a gapful number since it is divisible by the number (12) 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 1354843448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811734260336).

1354843448832 is an abundant number, since it is smaller than the sum of its proper divisors (2268625071840).

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

1354843448832 is an equidigital number, since it uses as much as digits as its factorization.

1354843448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688 (or 3672 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 57.

The spelling of 1354843448832 in words is "one trillion, three hundred fifty-four billion, eight hundred forty-three million, four hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 433 512 768 857 866 1299 1536 1714 1732 2377 2571 2598 3428 3464 4754 5142 5196 6856 6928 7131 9508 10284 10392 13712 13856 14262 19016 20568 20784 27424 27712 28524 38032 41136 41568 54848 55424 57048 76064 82272 83136 109696 110848 114096 152128 164544 166272 219392 221696 228192 304256 329088 332544 371081 438784 456384 608512 658176 665088 742162 912768 1029241 1113243 1217024 1316352 1484324 1825536 2037089 2058482 2226486 2968648 3087723 3651072 4074178 4116964 4452972 5937296 6111267 6175446 8148356 8233928 8905944 11874592 12222534 12350892 16296712 16467856 17811888 23749184 24445068 24701784 32593424 32935712 35623776 47498368 48890136 49403568 65186848 65871424 71247552 94996736 97780272 98807136 130373696 131742848 142495104 189993472 195560544 197614272 260747392 263485696 284990208 391121088 395228544 521494784 526971392 569980416 782242176 790457088 882059537 1042989568 1564484352 1580914176 1764119074 2646178611 3128968704 3528238148 5292357222 7056476296 10584714444 14112952592 21169428888 28225905184 42338857776 56451810368 84677715552 112903620736 169355431104 225807241472 338710862208 451614482944 677421724416 1354843448832