Search a number
-
+
97531922691072 = 2103229364927273
BaseRepresentation
bin10110001011010001101011…
…100110110011010000000000
3110210022221221101102200202200
4112023101223212303100000
5100240430334202103242
6543233314032313200
726354306652150642
oct2613215346632000
9423287841380680
1097531922691072
1129093068786211
12ab3240b6a2800
1342562b4275a2c
141a127daa7a892
15b420684c904c
hex58b46b9b3400

97531922691072 has 132 divisors (see below), whose sum is σ = 291332390652420. Its totient is φ = 31389584228352.

The previous prime is 97531922691059. The next prime is 97531922691113. The reversal of 97531922691072 is 27019622913579.

97531922691072 is a `hidden beast` number, since 9 + 7 + 5 + 319 + 226 + 91 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79753758806016 + 17778163885056 = 8930496^2 + 4216416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182196373 + ... + 182730900.

Almost surely, 297531922691072 is an apocalyptic number.

It is an amenable number.

97531922691072 is an abundant number, since it is smaller than the sum of its proper divisors (193800467961348).

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

97531922691072 is a wasteful number, since it uses less digits than its factorization.

97531922691072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364927328 (or 364927307 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 97531922691072 in words is "ninety-seven trillion, five hundred thirty-one billion, nine hundred twenty-two million, six hundred ninety-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 29696 33408 44544 66816 89088 133632 267264 364927273 729854546 1094781819 1459709092 2189563638 2919418184 3284345457 4379127276 5838836368 6568690914 8758254552 10582890917 11677672736 13137381828 17516509104 21165781834 23355345472 26274763656 31748672751 35033018208 42331563668 46710690944 52549527312 63497345502 70066036416 84663127336 93421381888 95246018253 105099054624 126994691004 140132072832 169326254672 186842763776 190492036506 210198109248 253989382008 280264145664 338652509344 373685527552 380984073012 420396218496 507978764016 560528291328 677305018688 761968146024 840792436992 1015957528032 1121056582656 1354610037376 1523936292048 1681584873984 2031915056064 2709220074752 3047872584096 3363169747968 4063830112128 5418440149504 6095745168192 8127660224256 10836880299008 12191490336384 16255320448512 24382980672768 32510640897024 48765961345536 97531922691072