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97762005952 = 2613215757571
BaseRepresentation
bin101101100001100010…
…0011101001111000000
3100100100012110110120021
41123003010131033000
53100204033142302
6112524455023224
710030430224342
oct1330304351700
9310305413507
1097762005952
1138508116046
1216b4436ab14
1392acc67600
144a35b33292
152822a15437
hex16c311d3c0

97762005952 has 84 divisors (see below), whose sum is σ = 211408874616. Its totient is φ = 44832752640.

The previous prime is 97762005899. The next prime is 97762005973. The reversal of 97762005952 is 25950026779.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 97762005952.

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, 1669327 + ... + 1726897.

Almost surely, 297762005952 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 97762005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105704437308).

97762005952 is an abundant number, since it is smaller than the sum of its proper divisors (113646868664).

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

97762005952 is a wasteful number, since it uses less digits than its factorization.

97762005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57766 (or 57743 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 52.

The spelling of 97762005952 in words is "ninety-seven billion, seven hundred sixty-two million, five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 157 169 208 314 338 416 628 676 832 1256 1352 2041 2512 2704 4082 5024 5408 8164 10048 10816 16328 26533 32656 53066 57571 65312 106132 115142 130624 212264 230284 424528 460568 748423 849056 921136 1496846 1698112 1842272 2993692 3684544 5987384 9038647 9729499 11974768 18077294 19458998 23949536 36154588 38917996 47899072 72309176 77835992 117502411 144618352 155671984 235004822 289236704 311343968 470009644 578473408 622687936 940019288 1527531343 1880038576 3055062686 3760077152 6110125372 7520154304 12220250744 24440501488 48881002976 97762005952