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11725376928 = 2531811913533
BaseRepresentation
bin10101110101110001…
…10000110110100000
31010021011100212022120
422322320300312200
5143003144030203
65215255304240
7563365026246
oct127270606640
933234325276
1011725376928
114a77740261
12233297b080
13114b2b0675
147d3372796
154895c5b53
hex2bae30da0

11725376928 has 96 divisors (see below), whose sum is σ = 31120008192. Its totient is φ = 3865420800.

The previous prime is 11725376917. The next prime is 11725376939. The reversal of 11725376928 is 82967352711.

It is an interprime number because it is at equal distance from previous prime (11725376917) and next prime (11725376939).

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

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, 3317050 + ... + 3320582.

It is an arithmetic number, because the mean of its divisors is an integer number (324166752).

Almost surely, 211725376928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11725376928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

11725376928 is an abundant number, since it is smaller than the sum of its proper divisors (19394631264).

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

11725376928 is a wasteful number, since it uses less digits than its factorization.

11725376928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3910 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The spelling of 11725376928 in words is "eleven billion, seven hundred twenty-five million, three hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 191 362 382 543 573 724 764 1086 1146 1448 1528 2172 2292 2896 3056 3533 4344 4584 5792 6112 7066 8688 9168 10599 14132 17376 18336 21198 28264 34571 42396 56528 69142 84792 103713 113056 138284 169584 207426 276568 339168 414852 553136 639473 674803 829704 1106272 1278946 1349606 1659408 1918419 2024409 2557892 2699212 3318816 3836838 4048818 5115784 5398424 7673676 8097636 10231568 10796848 15347352 16195272 20463136 21593696 30694704 32390544 61389408 64781088 122139343 244278686 366418029 488557372 732836058 977114744 1465672116 1954229488 2931344232 3908458976 5862688464 11725376928