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70780278656 = 2719294323339
BaseRepresentation
bin100000111101011010…
…1010101011110000000
320202200210120200222002
41001322311111132000
52124424222404111
652303243003132
75054000304353
oct1017265253600
9222623520862
1070780278656
1128021692a6a
12118742094a8
13689ccb3bb9
1435d64ca29a
151c93d8e63b
hex107ad55780

70780278656 has 128 divisors (see below), whose sum is σ = 157124880000. Its totient is φ = 31617202176.

The previous prime is 70780278649. The next prime is 70780278671. The reversal of 70780278656 is 65687208707.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3021035 + ... + 3044373.

It is an arithmetic number, because the mean of its divisors is an integer number (1227538125).

Almost surely, 270780278656 is an apocalyptic number.

70780278656 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 70780278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78562440000).

70780278656 is an abundant number, since it is smaller than the sum of its proper divisors (86344601344).

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

70780278656 is a wasteful number, since it uses less digits than its factorization.

70780278656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23444 (or 23432 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 70780278656 in words is "seventy billion, seven hundred eighty million, two hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 32 38 43 58 64 76 86 116 128 152 172 232 304 344 464 551 608 688 817 928 1102 1216 1247 1376 1634 1856 2204 2432 2494 2752 3268 3712 4408 4988 5504 6536 8816 9976 13072 17632 19952 23339 23693 26144 35264 39904 46678 47386 52288 70528 79808 93356 94772 104576 159616 186712 189544 373424 379088 443441 676831 746848 758176 886882 1003577 1353662 1493696 1516352 1773764 2007154 2707324 2987392 3032704 3547528 4014308 5414648 7095056 8028616 10829296 12859789 14190112 16057232 19067963 21658592 25719578 28380224 29103733 32114464 38135926 43317184 51439156 56760448 58207466 64228928 76271852 86634368 102878312 116414932 128457856 152543704 205756624 232829864 305087408 411513248 465659728 552970927 610174816 823026496 931319456 1105941854 1220349632 1646052992 1862638912 2211883708 2440699264 3725277824 4423767416 8847534832 17695069664 35390139328 70780278656