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98742099630096 = 243213371425590489
BaseRepresentation
bin10110011100111000101111…
…110001011101100000010000
3110221121122121200211212120200
4112130320233301131200100
5100420242310001130341
6550001254440135200
726540611164335106
oct2634705761354020
9427548550755520
1098742099630096
112950a32004920a
12b0a8a69467500
1343134560bc740
141a55200a25c76
15b63796873db6
hex59ce2fc5d810

98742099630096 has 120 divisors (see below), whose sum is σ = 305640898694040. Its totient is φ = 29561044359168.

The previous prime is 98742099630091. The next prime is 98742099630127. The reversal of 98742099630096 is 69003699024789.

98742099630096 is a `hidden beast` number, since 9 + 87 + 420 + 9 + 9 + 6 + 30 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10753572381696 + 87988527248400 = 3279264^2 + 9380220^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (98742099630091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 712725981 + ... + 712864508.

It is an arithmetic number, because the mean of its divisors is an integer number (2547007489117).

Almost surely, 298742099630096 is an apocalyptic number.

It is an amenable number.

98742099630096 is an abundant number, since it is smaller than the sum of its proper divisors (206898799063944).

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

98742099630096 is a wasteful number, since it uses less digits than its factorization.

98742099630096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425590553 (or 1425590544 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 98742099630096 in words is "ninety-eight trillion, seven hundred forty-two billion, ninety-nine million, six hundred thirty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 72 74 78 104 111 117 144 148 156 208 222 234 296 312 333 444 468 481 592 624 666 888 936 962 1332 1443 1776 1872 1924 2664 2886 3848 4329 5328 5772 7696 8658 11544 17316 23088 34632 69264 1425590489 2851180978 4276771467 5702361956 8553542934 11404723912 12830314401 17107085868 18532676357 22809447824 25660628802 34214171736 37065352714 51321257604 52746848093 55598029071 68428343472 74130705428 102642515208 105493696186 111196058142 148261410856 158240544279 166794087213 205285030416 210987392372 222392116284 296522821712 316481088558 333588174426 421974784744 444784232568 474721632837 632962177116 667176348852 685709025209 843949569488 889568465136 949443265674 1265924354232 1334352697704 1371418050418 1898886531348 2057127075627 2531848708464 2668705395408 2742836100836 3797773062696 4114254151254 5485672201672 6171381226881 7595546125392 8228508302508 10971344403344 12342762453762 16457016605016 24685524907524 32914033210032 49371049815048 98742099630096