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11922980736 = 273174673911
BaseRepresentation
bin10110001101010101…
…00011111110000000
31010202221012011210010
423012222203332000
5143404240340421
65251034504520
7601314443532
oct130652437600
933687164703
1011922980736
115069236997
122388b95140
1311802090b4
148116cd852
1549bb0a076
hex2c6aa3f80

11922980736 has 128 divisors (see below), whose sum is σ = 33613781760. Its totient is φ = 3731578880.

The previous prime is 11922980689. The next prime is 11922980737. The reversal of 11922980736 is 63708922911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11922980737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3046621 + ... + 3050531.

It is an arithmetic number, because the mean of its divisors is an integer number (262607670).

Almost surely, 211922980736 is an apocalyptic number.

11922980736 is a gapful number since it is divisible by the number (16) 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 11922980736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16806890880).

11922980736 is an abundant number, since it is smaller than the sum of its proper divisors (21690801024).

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

11922980736 is a wasteful number, since it uses less digits than its factorization.

11922980736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 11922980736 in words is "eleven billion, nine hundred twenty-two million, nine hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 467 544 816 934 1088 1401 1632 1868 2176 2802 3264 3736 3911 5604 6528 7472 7822 7939 11208 11733 14944 15644 15878 22416 23466 23817 29888 31288 31756 44832 46932 47634 59776 62576 63512 66487 89664 93864 95268 125152 127024 132974 179328 187728 190536 199461 250304 254048 265948 375456 381072 398922 500608 508096 531896 750912 762144 797844 1016192 1063792 1501824 1524288 1595688 1826437 2127584 3048576 3191376 3652874 4255168 5479311 6382752 7305748 8510336 10958622 12765504 14611496 21917244 25531008 29222992 31049429 43834488 58445984 62098858 87668976 93148287 116891968 124197716 175337952 186296574 233783936 248395432 350675904 372593148 496790864 701351808 745186296 993581728 1490372592 1987163456 2980745184 3974326912 5961490368 11922980736