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10147338756 = 223210321632
BaseRepresentation
bin10010111001101010…
…00001101000000100
3222012012000012220100
421130311001220010
5131240204320011
64354524404100
7506313646002
oct113465015004
928165005810
1010147338756
1143379a9885
121b723a6630
13c59396c79
146c3957a72
153e5cb3d56
hex25cd41a04

10147338756 has 81 divisors (see below), whose sum is σ = 26061547239. Its totient is φ = 3329057232.

The previous prime is 10147338737. The next prime is 10147338823. The reversal of 10147338756 is 65783374101.

The square root of 10147338756 is 100734.

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

10147338756 is a `hidden beast` number, since 101 + 473 + 3 + 8 + 75 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62253531 + ... + 62253693.

Almost surely, 210147338756 is an apocalyptic number.

10147338756 is the 100734-th square number.

It is an amenable number.

10147338756 is an abundant number, since it is smaller than the sum of its proper divisors (15914208483).

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

10147338756 is a wasteful number, since it uses less digits than its factorization.

10147338756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10147338756 in words is "ten billion, one hundred forty-seven million, three hundred thirty-eight thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 103 163 206 309 326 412 489 618 652 927 978 1236 1467 1854 1956 2934 3708 5868 10609 16789 21218 26569 31827 33578 42436 50367 53138 63654 67156 79707 95481 100734 106276 127308 151101 159414 190962 201468 239121 302202 318828 381924 478242 604404 956484 1729267 2736607 3458534 5187801 5473214 6917068 8209821 10375602 10946428 15563403 16419642 20751204 24629463 31126806 32839284 49258926 62253612 98517852 281870521 563741042 845611563 1127482084 1691223126 2536834689 3382446252 5073669378 10147338756