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97323191952 = 24372418531409
BaseRepresentation
bin101101010100011101…
…0100000111010010000
3100022012121202101220220
41122220322200322100
53043304214120302
6112413141433040
710013521324260
oct1325072407220
9308177671826
1097323191952
113830244a648
1216a4140b780
13924008625c
1449d37477a0
1527e92364bc
hex16a8ea0e90

97323191952 has 160 divisors (see below), whose sum is σ = 289070664960. Its totient is φ = 27639152640.

The previous prime is 97323191929. The next prime is 97323191969. The reversal of 97323191952 is 25919132379.

It is a junction number, because it is equal to n+sod(n) for n = 97323191895 and 97323191904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69071824 + ... + 69073232.

It is an arithmetic number, because the mean of its divisors is an integer number (1806691656).

Almost surely, 297323191952 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 97323191952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144535332480).

97323191952 is an abundant number, since it is smaller than the sum of its proper divisors (191747473008).

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

97323191952 is a wasteful number, since it uses less digits than its factorization.

97323191952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2515 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The spelling of 97323191952 in words is "ninety-seven billion, three hundred twenty-three million, one hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 853 964 1409 1446 1687 1706 1928 2559 2818 2892 3374 3412 3856 4227 5061 5118 5636 5784 5971 6748 6824 8454 9863 10122 10236 11272 11568 11942 13496 13648 16908 17913 19726 20244 20472 22544 23884 26992 29589 33816 35826 39452 40488 40944 47768 59178 67632 71652 78904 80976 95536 118356 143304 157808 205573 236712 286608 339569 411146 473424 616719 679138 822292 1018707 1201877 1233438 1358276 1439011 1644584 2037414 2376983 2403754 2466876 2716552 2878022 3289168 3605631 4074828 4317033 4753966 4807508 4933752 5433104 5756044 7130949 7211262 8149656 8413139 8634066 9507932 9615016 9867504 11512088 14261898 14422524 16299312 16826278 17268132 19015864 19230032 23024176 25239417 28523796 28845048 33652556 34536264 38031728 50478834 57047592 57690096 67305112 69072528 100957668 114095184 134610224 201915336 289652357 403830672 579304714 868957071 1158609428 1737914142 2027566499 2317218856 3475828284 4055132998 4634437712 6082699497 6951656568 8110265996 12165398994 13903313136 16220531992 24330797988 32441063984 48661595976 97323191952