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10056544352 = 2519374091093
BaseRepresentation
bin10010101110110101…
…01011000001100000
3221221212011101101122
421113122223001200
5131043433404402
64341522351412
7504132134201
oct112732530140
927855141348
1010056544352
1142a0725688
121b47abb568
13c4362757a
146b58815a8
153dcd2bca2
hex2576ab060

10056544352 has 96 divisors (see below), whose sum is σ = 21476095200. Its totient is φ = 4619317248.

The previous prime is 10056544319. The next prime is 10056544373. The reversal of 10056544352 is 25344565001.

It is a super-2 number, since 2×100565443522 (a number of 21 digits) contains 22 as substring.

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, 9200318 + ... + 9201410.

It is an arithmetic number, because the mean of its divisors is an integer number (223709325).

Almost surely, 210056544352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10056544352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10738047600).

10056544352 is an abundant number, since it is smaller than the sum of its proper divisors (11419550848).

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

10056544352 is a wasteful number, since it uses less digits than its factorization.

10056544352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 10056544352 in words is "ten billion, fifty-six million, five hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 37 38 74 76 148 152 296 304 409 592 608 703 818 1093 1184 1406 1636 2186 2812 3272 4372 5624 6544 7771 8744 11248 13088 15133 15542 17488 20767 22496 30266 31084 34976 40441 41534 60532 62168 80882 83068 121064 124336 161764 166136 242128 248672 287527 323528 332272 447037 484256 575054 647056 664544 768379 894074 1150108 1294112 1536758 1788148 2300216 3073516 3576296 4600432 6147032 7152592 8493703 9200864 12294064 14305184 16540369 16987406 24588128 33080738 33974812 66161476 67949624 132322952 135899248 264645904 271798496 314267011 529291808 628534022 1257068044 2514136088 5028272176 10056544352