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76283493376 = 21019310861
BaseRepresentation
bin100011100001011011…
…0011011110000000000
321021220022211222100111
41013002312123300000
52222212033242001
655013312001104
75340242665216
oct1070266336000
9237808758314
1076283493376
112a396052702
121294b230194
137269181b7c
14399933ccb6
151eb7096851
hex11c2d9bc00

76283493376 has 88 divisors (see below), whose sum is σ = 160977881360. Its totient is φ = 36130959360.

The previous prime is 76283493371. The next prime is 76283493437. The reversal of 76283493376 is 67339438267.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 76283493376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76283493371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7018186 + ... + 7029046.

Almost surely, 276283493376 is an apocalyptic number.

76283493376 is a gapful number since it is divisible by the number (76) 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 76283493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80488940680).

76283493376 is an abundant number, since it is smaller than the sum of its proper divisors (84694387984).

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

76283493376 is an equidigital number, since it uses as much as digits as its factorization.

76283493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938 (or 10882 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 58.

The spelling of 76283493376 in words is "seventy-six billion, two hundred eighty-three million, four hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 512 608 722 1024 1216 1444 2432 2888 4864 5776 6859 9728 10861 11552 13718 19456 21722 23104 27436 43444 46208 54872 86888 92416 109744 173776 184832 206359 219488 347552 369664 412718 438976 695104 825436 877952 1390208 1650872 1755904 2780416 3301744 3511808 3920821 5560832 6603488 7023616 7841642 11121664 13206976 15683284 26413952 31366568 52827904 62733136 74495599 105655808 125466272 148991198 211311616 250932544 297982396 501865088 595964792 1003730176 1191929584 2007460352 2383859168 4014920704 4767718336 9535436672 19070873344 38141746688 76283493376