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146948016029352 = 233193110395303907
BaseRepresentation
bin100001011010011000000000…
…010010111011111010101000
3201021022002111220012012021020
4201122120000102323322220
5123230044014100414402
61240310553035412440
742644433553062456
oct4132300022737250
9637262456165236
10146948016029352
1142905338137a7a
12145936152b4120
1363cc1a5244c85
14284047150b9d6
1511ec6c609c8bc
hex85a6004bbea8

146948016029352 has 64 divisors (see below), whose sum is σ = 399179670067200. Its totient is φ = 44907712873920.

The previous prime is 146948016029327. The next prime is 146948016029377. The reversal of 146948016029352 is 253920610849641.

It is an interprime number because it is at equal distance from previous prime (146948016029327) and next prime (146948016029377).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5197637818 + ... + 5197666089.

It is an arithmetic number, because the mean of its divisors is an integer number (6237182344800).

Almost surely, 2146948016029352 is an apocalyptic number.

146948016029352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146948016029352 is an abundant number, since it is smaller than the sum of its proper divisors (252231654037848).

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

146948016029352 is a wasteful number, since it uses less digits than its factorization.

146948016029352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395303966 (or 10395303962 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 146948016029352 in words is "one hundred forty-six trillion, nine hundred forty-eight billion, sixteen million, twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 14136 10395303907 20790607814 31185911721 41581215628 62371823442 83162431256 124743646884 197510774233 249487293768 322254421117 395021548466 592532322699 644508842234 790043096932 966763263351 1185064645398 1289017684468 1580086193864 1933526526702 2370129290796 2578035368936 3867053053404 4740258581592 6122834001223 7734106106808 12245668002446 18368502003669 24491336004892 36737004007338 48982672009784 73474008014676 146948016029352