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557115069696 = 2831746791373
BaseRepresentation
bin10000001101101101010…
…01010101010100000000
31222021000022021212121020
420012312221111110000
533111432424212241
61103533553225440
755151554646463
oct10066651252400
91867008255536
10557115069696
111a52a8a29739
128bb80862280
13406c6cb24c3
141cd708a52da
15e759e71b66
hex81b6a55500

557115069696 has 144 divisors (see below), whose sum is σ = 1573337473344. Its totient is φ = 174405025792.

The previous prime is 557115069559. The next prime is 557115069773. The reversal of 557115069696 is 696960511755.

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, 6051466 + ... + 6142838.

It is an arithmetic number, because the mean of its divisors is an integer number (10925954676).

Almost surely, 2557115069696 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 557115069696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786668736672).

557115069696 is an abundant number, since it is smaller than the sum of its proper divisors (1016222403648).

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

557115069696 is a wasteful number, since it uses less digits than its factorization.

557115069696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91876 (or 91862 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 60.

The spelling of 557115069696 in words is "five hundred fifty-seven billion, one hundred fifteen million, sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 467 544 768 816 934 1088 1401 1632 1868 2176 2802 3264 3736 4352 5604 6528 7472 7939 11208 13056 14944 15878 22416 23817 29888 31756 44832 47634 59776 63512 89664 91373 95268 119552 127024 179328 182746 190536 254048 274119 358656 365492 381072 508096 548238 730984 762144 1016192 1096476 1461968 1524288 1553341 2032384 2192952 2923936 3048576 3106682 4385904 4660023 5847872 6097152 6213364 8771808 9320046 11695744 12426728 17543616 18640092 23391488 24853456 35087232 37280184 42671191 49706912 70174464 74560368 85342382 99413824 128013573 149120736 170684764 198827648 256027146 298241472 341369528 397655296 512054292 596482944 682739056 725410247 1024108584 1192965888 1365478112 1450820494 2048217168 2176230741 2730956224 2901640988 4096434336 4352461482 5461912448 5803281976 8192868672 8704922964 10923824896 11606563952 16385737344 17409845928 23213127904 32771474688 34819691856 46426255808 69639383712 92852511616 139278767424 185705023232 278557534848 557115069696