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146203686688 = 25171489718041
BaseRepresentation
bin1000100000101001101…
…0110011011100100000
3111222101012000211000211
42020022122303130200
54343411120433223
6151055352223504
713364030555263
oct2101232633440
9458335024024
10146203686688
1157006195834
122440339ab94
1310a2cc06117
14710d4dccda
153c0a690d0d
hex220a6b3720

146203686688 has 48 divisors (see below), whose sum is σ = 304807537944. Its totient is φ = 68793303040.

The previous prime is 146203686641. The next prime is 146203686749. The reversal of 146203686688 is 886686302641.

It can be written as a sum of positive squares in 4 ways, for example, as 135326865424 + 10876821264 = 367868^2 + 104292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8094948 + ... + 8112988.

Almost surely, 2146203686688 is an apocalyptic number.

It is an amenable number.

146203686688 is an abundant number, since it is smaller than the sum of its proper divisors (158603851256).

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

146203686688 is a wasteful number, since it uses less digits than its factorization.

146203686688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32965 (or 32957 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 146203686688 in words is "one hundred forty-six billion, two hundred three million, six hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 14897 18041 29794 36082 59588 72164 119176 144328 238352 253249 288656 306697 476704 506498 577312 613394 1012996 1226788 2025992 2453576 4051984 4907152 8103968 9814304 268756777 537513554 1075027108 2150054216 4300108432 4568865209 8600216864 9137730418 18275460836 36550921672 73101843344 146203686688