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10542344232 = 23371714472551
BaseRepresentation
bin10011101000101111…
…10110100000101000
31000012201021120112210
421310113312200220
5133042320003412
64502035005120
7522151306320
oct116427664050
930181246483
1010542344232
11451a973292
1220627397a0
13cc017a114
147201bc280
1541a7dc83c
hex2745f6828

10542344232 has 128 divisors (see below), whose sum is σ = 31927357440. Its totient is φ = 2831846400.

The previous prime is 10542344231. The next prime is 10542344261. The reversal of 10542344232 is 23244324501.

It is a super-2 number, since 2×105423442322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10542344232.

It is not an unprimeable number, because it can be changed into a prime (10542344231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4131357 + ... + 4133907.

It is an arithmetic number, because the mean of its divisors is an integer number (249432480).

Almost surely, 210542344232 is an apocalyptic number.

10542344232 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 10542344232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963678720).

10542344232 is an abundant number, since it is smaller than the sum of its proper divisors (21385013208).

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

10542344232 is a wasteful number, since it uses less digits than its factorization.

10542344232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10542344232 its reverse (23244324501), we get a palindrome (33786668733).

The spelling of 10542344232 in words is "ten billion, five hundred forty-two million, three hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 1447 2551 2856 2894 4341 5102 5788 7653 8682 10129 10204 11576 15306 17364 17857 20258 20408 24599 30387 30612 34728 35714 40516 43367 49198 53571 60774 61224 71428 73797 81032 86734 98396 107142 121548 130101 142856 147594 172193 173468 196792 214284 243096 260202 295188 303569 344386 346936 428568 516579 520404 590376 607138 688772 910707 1033158 1040808 1214276 1377544 1821414 2066316 2428552 3642828 3691297 4132632 7285656 7382594 11073891 14765188 22147782 25839079 29530376 44295564 51678158 62752049 77517237 88591128 103356316 125504098 155034474 188256147 206712632 251008196 310068948 376512294 439264343 502016392 620137896 753024588 878528686 1317793029 1506049176 1757057372 2635586058 3514114744 5271172116 10542344232