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157557505572 = 223253389212281
BaseRepresentation
bin1001001010111100101…
…0001011111000100100
3120001200110020120112100
42102233022023320210
510040134210134242
6200214140052100
714245264462125
oct2225712137044
9501613216470
10157557505572
1160902116a25
1226651834030
1311b1c222c4c
1478a939204c
15417232054c
hex24af28be24

157557505572 has 72 divisors (see below), whose sum is σ = 406829961720. Its totient is φ = 51395535360.

The previous prime is 157557505559. The next prime is 157557505577. The reversal of 157557505572 is 275505755751.

It is a happy number.

157557505572 is a `hidden beast` number, since 15 + 7 + 5 + 5 + 7 + 50 + 5 + 572 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61348354596 + 96209150976 = 247686^2 + 310176^2 .

It is a super-2 number, since 2×1575575055722 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157557505577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 636072 + ... + 848352.

It is an arithmetic number, because the mean of its divisors is an integer number (5650416135).

Almost surely, 2157557505572 is an apocalyptic number.

157557505572 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 157557505572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203414980860).

157557505572 is an abundant number, since it is smaller than the sum of its proper divisors (249272456148).

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

157557505572 is a wasteful number, since it uses less digits than its factorization.

157557505572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212733 (or 212728 counting only the distinct ones).

The product of its (nonzero) digits is 10718750, while the sum is 54.

The spelling of 157557505572 in words is "one hundred fifty-seven billion, five hundred fifty-seven million, five hundred five thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 389 477 636 778 954 1167 1556 1908 2334 3501 4668 7002 14004 20617 41234 61851 82468 123702 185553 212281 247404 371106 424562 636843 742212 849124 1273686 1910529 2547372 3821058 7642116 11250893 22501786 33752679 45003572 67505358 82577309 101258037 135010716 165154618 202516074 247731927 330309236 405032148 495463854 743195781 990927708 1486391562 2972783124 4376597377 8753194754 13129792131 17506389508 26259584262 39389376393 52519168524 78778752786 157557505572