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97246252728 = 2333103242437
BaseRepresentation
bin101101010010001010…
…1000000111010111000
3100022000020222111011000
41122210111000322320
53043130020041403
6112401352405000
710011565336542
oct1324425007270
9308006874130
1097246252728
1138272a7a009
1216a1b6a6760
13922a1580a1
1449c743a692
1527e25d97a3
hex16a4540eb8

97246252728 has 96 divisors (see below), whose sum is σ = 272782976400. Its totient is φ = 32099948352.

The previous prime is 97246252679. The next prime is 97246252739. The reversal of 97246252728 is 82725264279.

97246252728 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 625 + 2 + 7 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270326 + ... + 2312762.

Almost surely, 297246252728 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 97246252728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136391488200).

97246252728 is an abundant number, since it is smaller than the sum of its proper divisors (175536723672).

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

97246252728 is a wasteful number, since it uses less digits than its factorization.

97246252728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42658 (or 42545 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 97246252728 in words is "ninety-seven billion, two hundred forty-six million, two hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 5562 7416 10609 11124 21218 22248 31827 42436 42437 63654 84872 84874 95481 127308 127311 169748 190962 254616 254622 286443 339496 381924 381933 509244 572886 763848 763866 1018488 1145772 1145799 1527732 2291544 2291598 3055464 4371011 4583196 8742022 9166392 13113033 17484044 26226066 34968088 39339099 52452132 78678198 104904264 118017297 157356396 236034594 314712792 450214133 472069188 900428266 944138376 1350642399 1800856532 2701284798 3601713064 4051927197 5402569596 8103854394 10805139192 12155781591 16207708788 24311563182 32415417576 48623126364 97246252728