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92942058496 = 2107213612
BaseRepresentation
bin101011010001111000…
…1110100010000000000
322212220021212202122211
41112203301310100000
53010321131332441
6110410314511504
76500122314400
oct1264361642000
9285807782584
1092942058496
11364644071a1
121601a135594
1389c24ca7b1
1446d9940800
15263e7c7a81
hex15a3c74400

92942058496 has 99 divisors (see below), whose sum is σ = 216285878757. Its totient is φ = 39803043840.

The previous prime is 92942058479. The next prime is 92942058511. The reversal of 92942058496 is 69485024929.

The square root of 92942058496 is 304864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15791440896 + 77150617600 = 125664^2 + 277760^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 92942058496.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68288856 + ... + 68290216.

Almost surely, 292942058496 is an apocalyptic number.

92942058496 is the 304864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92942058496

92942058496 is an abundant number, since it is smaller than the sum of its proper divisors (123343820261).

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

92942058496 is an frugal number, since it uses more digits than its factorization.

92942058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 92942058496 in words is "ninety-two billion, nine hundred forty-two million, fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1361 1568 1792 2722 3136 3584 5444 6272 7168 9527 10888 12544 19054 21776 25088 38108 43552 50176 66689 76216 87104 133378 152432 174208 266756 304864 348416 533512 609728 696832 1067024 1219456 1393664 1852321 2134048 2438912 3704642 4268096 4877824 7409284 8536192 9755648 12966247 14818568 17072384 25932494 29637136 34144768 51864988 59274272 68289536 90763729 103729976 118548544 181527458 207459952 237097088 363054916 414919904 474194176 726109832 829839808 948388352 1452219664 1659679616 1896776704 2904439328 3319359232 5808878656 6638718464 11617757312 13277436928 23235514624 46471029248 92942058496