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97871298912 = 253213114231823
BaseRepresentation
bin101101100100110010…
…1011000000101100000
3100100121211010010022200
41123021211120011200
53100420023031122
6112543401333200
710033225212612
oct1331145300540
9310554103280
1097871298912
1138563884502
1216b74a97200
1392c97b2bba
144a46462db2
15282c4035ac
hex16c9958160

97871298912 has 144 divisors (see below), whose sum is σ = 280797124608. Its totient is φ = 32334232320.

The previous prime is 97871298883. The next prime is 97871298919. The reversal of 97871298912 is 21989217879.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 97871298912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97871298919) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53686033 + ... + 53687855.

It is an arithmetic number, because the mean of its divisors is an integer number (1949980032).

Almost surely, 297871298912 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 97871298912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140398562304).

97871298912 is an abundant number, since it is smaller than the sum of its proper divisors (182925825696).

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

97871298912 is a wasteful number, since it uses less digits than its factorization.

97871298912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3382 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 63.

The spelling of 97871298912 in words is "ninety-seven billion, eight hundred seventy-one million, two hundred ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 786 1048 1179 1423 1572 1823 2096 2358 2846 3144 3646 4192 4269 4716 5469 5692 6288 7292 8538 9432 10938 11384 12576 12807 14584 16407 17076 18864 21876 22768 25614 29168 32814 34152 37728 43752 45536 51228 58336 65628 68304 87504 102456 131256 136608 175008 186413 204912 238813 262512 372826 409824 477626 525024 559239 716439 745652 955252 1118478 1432878 1491304 1677717 1910504 2149317 2236956 2594129 2865756 2982608 3355434 3821008 4298634 4473912 5188258 5731512 5965216 6710868 7642016 7782387 8597268 8947824 10376516 11463024 13421736 15564774 17194536 17895648 20753032 22926048 23347161 26843472 31129548 34389072 41506064 46694322 53686944 62259096 68778144 83012128 93388644 124518192 186777288 249036384 339830899 373554576 679661798 747109152 1019492697 1359323596 2038985394 2718647192 3058478091 4077970788 5437294384 6116956182 8155941576 10874588768 12233912364 16311883152 24467824728 32623766304 48935649456 97871298912