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553619331136 = 2617254712
BaseRepresentation
bin10000000111001100100…
…10001001100001000000
31221220222200102221210201
420003212102021201000
533032303022044021
61102155035334544
754666126446044
oct10034622114100
91856880387721
10553619331136
111a3874752603
128b365bb1454
134028a9a8751
141cb1c4d6024
15e603107591
hex80e6489840

553619331136 has 63 divisors (see below), whose sum is σ = 1167225896557. Its totient is φ = 260479124480.

The previous prime is 553619331071. The next prime is 553619331143. The reversal of 553619331136 is 631133916355.

The square root of 553619331136 is 744056.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 431018510400 + 122600820736 = 656520^2 + 350144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101188881 + ... + 101194351.

Almost surely, 2553619331136 is an apocalyptic number.

553619331136 is the 744056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553619331136

553619331136 is an abundant number, since it is smaller than the sum of its proper divisors (613606565421).

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

553619331136 is an frugal number, since it uses more digits than its factorization.

553619331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10988 (or 5490 counting only the distinct ones).

The product of its digits is 656100, while the sum is 46.

The spelling of 553619331136 in words is "five hundred fifty-three billion, six hundred nineteen million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 5471 9248 10942 18496 21884 43768 87536 93007 175072 186014 350144 372028 744056 1488112 1581119 2976224 3162238 5952448 6324476 12648952 25297904 29931841 50595808 59863682 101191616 119727364 239454728 478909456 508841297 957818912 1017682594 1915637824 2035365188 4070730376 8141460752 8650302049 16282921504 17300604098 32565843008 34601208196 69202416392 138404832784 276809665568 553619331136