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146382412974 = 23723281539269
BaseRepresentation
bin1000100001010100010…
…0100101110010101110
3111222211122100001101220
42020111010211302232
54344242344203344
6151125215044210
713401330660210
oct2102504456256
9458748301356
10146382412974
1157098068506
1224453210666
1310a5ac52315
1471291445b0
153c1b1e6c19
hex2215125cae

146382412974 has 64 divisors (see below), whose sum is σ = 350378818560. Its totient is φ = 39862690560.

The previous prime is 146382412961. The next prime is 146382413003. The reversal of 146382412974 is 479214283641.

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, 1812 + ... + 541080.

It is an arithmetic number, because the mean of its divisors is an integer number (5474669040).

Almost surely, 2146382412974 is an apocalyptic number.

146382412974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146382412974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175189409280).

146382412974 is an abundant number, since it is smaller than the sum of its proper divisors (203996405586).

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

146382412974 is a wasteful number, since it uses less digits than its factorization.

146382412974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539585.

The product of its digits is 2322432, while the sum is 51.

The spelling of 146382412974 in words is "one hundred forty-six billion, three hundred eighty-two million, four hundred twelve thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 281 322 483 562 843 966 1686 1967 3934 5901 6463 11802 12926 19389 38778 45241 90482 135723 271446 539269 1078538 1617807 3235614 3774883 7549766 11324649 12403187 22649298 24806374 37209561 74419122 86822309 151534589 173644618 260466927 303069178 454603767 520933854 909207534 1060742123 2121484246 3182226369 3485295547 6364452738 6970591094 10455886641 20911773282 24397068829 48794137658 73191206487 146382412974