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146232704652450 = 23521325768548507
BaseRepresentation
bin100001001111111101110100…
…011010100101010010100010
3201011202201011121122021000220
4201033331310122211102202
5123131334034342334300
61235002213242223510
742541651512514233
oct4117756432452242
9634681147567026
10146232704652450
1142659a3a552289
1214498a64ab4b96
1363798b98a9a00
1428179b48cb08a
1511d8cacbc5da0
hex84ff746a54a2

146232704652450 has 72 divisors (see below), whose sum is σ = 392699708230608. Its totient is φ = 35995742677440.

The previous prime is 146232704652439. The next prime is 146232704652469. The reversal of 146232704652450 is 54256407232641.

146232704652450 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146232704652393 and 146232704652402.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2884248904 + ... + 2884299603.

It is an arithmetic number, because the mean of its divisors is an integer number (5454162614314).

Almost surely, 2146232704652450 is an apocalyptic number.

146232704652450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146232704652450 is an abundant number, since it is smaller than the sum of its proper divisors (246467003578158).

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

146232704652450 is a wasteful number, since it uses less digits than its factorization.

146232704652450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5768548548 (or 5768548530 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 146232704652450 in words is "one hundred forty-six trillion, two hundred thirty-two billion, seven hundred four million, six hundred fifty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 325 338 390 507 650 845 975 1014 1690 1950 2535 4225 5070 8450 12675 25350 5768548507 11537097014 17305645521 28842742535 34611291042 57685485070 74991130591 86528227605 144213712675 149982261182 173056455210 224973391773 288427425350 374955652955 432641138025 449946783546 749911305910 865282276050 974884697683 1124866958865 1874778264775 1949769395366 2249733917730 2924654093049 3749556529550 4874423488415 5624334794325 5849308186098 9748846976830 11248669588650 14623270465245 24372117442075 29246540930490 48744234884150 73116352326225 146232704652450