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40736748672 = 273261579701
BaseRepresentation
bin100101111100000110…
…010111010010000000
310220011000101020200100
4211330012113102000
51131412101424142
630414133522400
72641331436054
oct457406272200
9126130336610
1040736748672
1116304918244
127a8a7a3400
133ac28ba619
141d8638dc64
1510d6517b4c
hex97c197480

40736748672 has 96 divisors (see below), whose sum is σ = 119146152060. Its totient is φ = 13356288000.

The previous prime is 40736748667. The next prime is 40736748673. The reversal of 40736748672 is 27684763704.

It can be written as a sum of positive squares in 2 ways, for example, as 28701781056 + 12034967616 = 169416^2 + 109704^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (40736748673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219579 + ... + 360122.

Almost surely, 240736748672 is an apocalyptic number.

It is an amenable number.

40736748672 is an abundant number, since it is smaller than the sum of its proper divisors (78409403388).

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

40736748672 is a wasteful number, since it uses less digits than its factorization.

40736748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579782 (or 579767 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 40736748672 in words is "forty billion, seven hundred thirty-six million, seven hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3904 4392 5856 7808 8784 11712 17568 23424 35136 70272 579701 1159402 1739103 2318804 3478206 4637608 5217309 6956412 9275216 10434618 13912824 18550432 20869236 27825648 35361761 37100864 41738472 55651296 70723522 74201728 83476944 106085283 111302592 141447044 166953888 212170566 222605184 282894088 318255849 333907776 424341132 565788176 636511698 667815552 848682264 1131576352 1273023396 1697364528 2263152704 2546046792 3394729056 4526305408 5092093584 6789458112 10184187168 13578916224 20368374336 40736748672