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16697879680 = 275315571511
BaseRepresentation
bin11111000110100010…
…10110110010000000
31121002201000011202011
433203101112302000
5233144124122210
611400525302304
71130534430646
oct174321266200
947081004664
1016697879680
117099577169
1232a0104994
1317615324a1
14b45917196
1567ade9d8a
hex3e3456c80

16697879680 has 128 divisors (see below), whose sum is σ = 41307356160. Its totient is φ = 6447820800.

The previous prime is 16697879663. The next prime is 16697879701. The reversal of 16697879680 is 8697879661.

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

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, 11050125 + ... + 11051635.

It is an arithmetic number, because the mean of its divisors is an integer number (322713720).

Almost surely, 216697879680 is an apocalyptic number.

16697879680 is a gapful number since it is divisible by the number (10) 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 16697879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20653678080).

16697879680 is an abundant number, since it is smaller than the sum of its proper divisors (24609476480).

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

16697879680 is a wasteful number, since it uses less digits than its factorization.

16697879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 67.

The spelling of 16697879680 in words is "sixteen billion, six hundred ninety-seven million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 557 620 640 992 1114 1240 1511 1984 2228 2480 2785 3022 3968 4456 4960 5570 6044 7555 8912 9920 11140 12088 15110 17267 17824 19840 22280 24176 30220 34534 35648 44560 46841 48352 60440 69068 71296 86335 89120 93682 96704 120880 138136 172670 178240 187364 193408 234205 241760 276272 345340 356480 374728 468410 483520 552544 690680 749456 841627 936820 967040 1105088 1381360 1498912 1683254 1873640 2210176 2762720 2997824 3366508 3747280 4208135 5525440 5995648 6733016 7494560 8416270 11050880 13466032 14989120 16832540 26090437 26932064 29978240 33665080 52180874 53864128 67330160 104361748 107728256 130452185 134660320 208723496 260904370 269320640 417446992 521808740 538641280 834893984 1043617480 1669787968 2087234960 3339575936 4174469920 8348939840 16697879680