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146670994728 = 23331797694933
BaseRepresentation
bin1000100010011001000…
…1011100010100101000
3112000120202100112011000
42020212101130110220
54400340233312403
6151214004235000
713411433612346
oct2104621342450
9460522315130
10146670994728
1157225a53225
122451399ba60
1310aa5982b5b
1471555c4996
153c366ec7a3
hex222645c528

146670994728 has 128 divisors (see below), whose sum is σ = 410311440000. Its totient is φ = 48544137216.

The previous prime is 146670994721. The next prime is 146670994753. The reversal of 146670994728 is 827499076641.

146670994728 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 70 + 99 + 472 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (146670994721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29730150 + ... + 29735082.

It is an arithmetic number, because the mean of its divisors is an integer number (3205558125).

Almost surely, 2146670994728 is an apocalyptic number.

146670994728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146670994728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205155720000).

146670994728 is an abundant number, since it is smaller than the sum of its proper divisors (263640445272).

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

146670994728 is a wasteful number, since it uses less digits than its factorization.

146670994728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 146670994728 in words is "one hundred forty-six billion, six hundred seventy million, nine hundred ninety-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 769 1074 1432 1538 1611 2148 2307 3076 3222 4296 4614 4833 4933 6152 6444 6921 9228 9666 9866 12888 13842 14799 18456 19332 19732 20763 27684 29598 38664 39464 41526 44397 55368 59196 83052 88794 118392 133191 137651 166104 177588 266382 275302 355176 412953 532764 550604 825906 883007 1065528 1101208 1238859 1651812 1766014 2477718 2649021 3303624 3532028 3716577 3793477 4955436 5298042 7064056 7433154 7586954 7947063 9910872 10596084 11380431 14866308 15173908 15894126 21192168 22760862 23841189 29732616 30347816 31788252 34141293 45521724 47682378 63576504 68282586 91043448 95364756 102423879 136565172 190729512 204847758 273130344 409695516 679032383 819391032 1358064766 2037097149 2716129532 4074194298 5432259064 6111291447 8148388596 12222582894 16296777192 18333874341 24445165788 36667748682 48890331576 73335497364 146670994728