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10052555136 = 273134346831
BaseRepresentation
bin10010101110010110…
…11101000110000000
3221221120122201012220
421113023131012000
5131041423231021
64341301051040
7504053210631
oct112713350600
927846581186
1010052555136
114299450508
121b466b6a80
13c4285b8a0
146b5123888
153dc7decc6
hex2572dd180

10052555136 has 128 divisors (see below), whose sum is σ = 29425482240. Its totient is φ = 3021096960.

The previous prime is 10052555129. The next prime is 10052555159. The reversal of 10052555136 is 63155525001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10052555097 and 10052555106.

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, 191241 + ... + 238071.

It is an arithmetic number, because the mean of its divisors is an integer number (229886580).

Almost surely, 210052555136 is an apocalyptic number.

10052555136 is a gapful number since it is divisible by the number (16) 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 10052555136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712741120).

10052555136 is an abundant number, since it is smaller than the sum of its proper divisors (19372927104).

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

10052555136 is a wasteful number, since it uses less digits than its factorization.

10052555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46904 (or 46892 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 10052555136 in words is "ten billion, fifty-two million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 46831 53664 71552 93662 107328 140493 187324 214656 280986 374648 561972 608803 749296 1123944 1217606 1498592 1826409 2013733 2247888 2435212 2997184 3652818 4027466 4495776 4870424 5994368 6041199 7305636 8054932 8991552 9740848 12082398 14611272 16109864 17983104 19481696 24164796 26178529 29222544 32219728 38963392 48329592 52357058 58445088 64439456 77926784 78535587 96659184 104714116 116890176 128878912 157071174 193318368 209428232 233780352 257757824 314142348 386636736 418856464 628284696 773273472 837712928 1256569392 1675425856 2513138784 3350851712 5026277568 10052555136