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149696888964624 = 24343398632
BaseRepresentation
bin100010000010011000000101…
…111001000000011000010000
3201122000212211120120210110000
4202002120011321000120100
5124110113212033331444
61250213445034410000
743350146313362031
oct4202300571003020
9648025746523400
10149696888964624
114377510425a051
1214958315290900
13656b48234a391
1428d752204aa88
151248e5da97469
hex882605e40610

149696888964624 has 75 divisors (see below), whose sum is σ = 433267502072383. Its totient is φ = 49898816167392.

The previous prime is 149696888964607. The next prime is 149696888964709. The reversal of 149696888964624 is 426469888696941.

It is a happy number.

The square root of 149696888964624 is 12235068.

It is a perfect power (a square), and thus also a powerful number.

149696888964624 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 9 + 68 + 8 + 89 + 6 + 462 + 4 = 666.

It is a super-2 number, since 2×1496968889646242 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 440292517 + ... + 440632379.

Almost surely, 2149696888964624 is an apocalyptic number.

149696888964624 is the 12235068-th square number.

It is an amenable number.

149696888964624 is an abundant number, since it is smaller than the sum of its proper divisors (283570613107759).

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

149696888964624 is an frugal number, since it uses more digits than its factorization.

149696888964624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679746 (or 339868 counting only the distinct ones).

The product of its digits is 61917364224, while the sum is 90.

The spelling of 149696888964624 in words is "one hundred forty-nine trillion, six hundred ninety-six billion, eight hundred eighty-eight million, nine hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 339863 679726 1019589 1359452 2039178 2718904 3058767 4078356 5437808 6117534 8156712 9176301 12235068 16313424 18352602 24470136 27528903 36705204 48940272 55057806 73410408 110115612 146820816 220231224 440462448 115506858769 231013717538 346520576307 462027435076 693041152614 924054870152 1039561728921 1386082305228 1848109740304 2079123457842 2772164610456 3118685186763 4158246915684 5544329220912 6237370373526 8316493831368 9356055560289 12474740747052 16632987662736 18712111120578 24949481494104 37424222241156 49898962988208 74848444482312 149696888964624