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146364195956 = 221131595933067
BaseRepresentation
bin1000100001001111111…
…1000110010001110100
3111222210101001112100112
42020103333012101310
54344223213232311
6151123324402152
713401020065316
oct2102377062164
9458711045315
10146364195956
1157088855820
12244490a6358
1310a57244614
1471269617b6
153c197e928b
hex2213fc6474

146364195956 has 96 divisors (see below), whose sum is σ = 293915381760. Its totient is φ = 63164505600.

The previous prime is 146364195907. The next prime is 146364195983. The reversal of 146364195956 is 659591463641.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a junction number, because it is equal to n+sod(n) for n = 146364195895 and 146364195904.

It is a congruent number.

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, 47720735 + ... + 47723801.

It is an arithmetic number, because the mean of its divisors is an integer number (3061618560).

Almost surely, 2146364195956 is an apocalyptic number.

It is an amenable number.

146364195956 is an abundant number, since it is smaller than the sum of its proper divisors (147551185804).

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

146364195956 is a wasteful number, since it uses less digits than its factorization.

146364195956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3763 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 59.

The spelling of 146364195956 in words is "one hundred forty-six billion, three hundred sixty-four million, one hundred ninety-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 22 31 44 59 62 118 124 236 341 593 649 682 1186 1298 1364 1829 2372 2596 3067 3658 6134 6523 7316 12268 13046 18383 20119 26092 33737 34987 36766 40238 67474 69974 73532 80476 95077 134948 139948 180953 190154 202213 361906 380308 384857 404426 723812 769714 808852 1045847 1084597 1539428 1818731 1990483 2091694 2169194 3637462 3980966 4183388 4338388 5609543 7274924 7961932 11219086 11930567 20006041 22438172 23861134 40012082 47722268 56380661 61704973 80024164 107305129 112761322 123409946 214610258 225522644 246819892 429220516 620187271 1180356419 1240374542 2360712838 2480749084 3326458999 4721425676 6652917998 13305835996 36591048989 73182097978 146364195956