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16632000714 = 23742941971
BaseRepresentation
bin11110111110101100…
…00011000011001010
31120221010001011210110
433133112003003022
5233030243010324
611350213255150
71126104450000
oct173726030312
946833034713
1016632000714
11706537033a
1232820344b6
1317509a7654
14b3ac88a70
15675235329
hex3df5830ca

16632000714 has 160 divisors (see below), whose sum is σ = 41165288640. Its totient is φ = 4471622400.

The previous prime is 16632000709. The next prime is 16632000769. The reversal of 16632000714 is 41700023661.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17128249 + ... + 17129219.

It is an arithmetic number, because the mean of its divisors is an integer number (257283054).

Almost surely, 216632000714 is an apocalyptic number.

16632000714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16632000714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20582644320).

16632000714 is an abundant number, since it is smaller than the sum of its proper divisors (24533287926).

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

16632000714 is an equidigital number, since it uses as much as digits as its factorization.

16632000714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 16632000714 in words is "sixteen billion, six hundred thirty-two million, seven hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 29 41 42 49 58 82 87 98 123 147 174 203 246 287 294 343 406 574 609 686 861 971 1029 1189 1218 1421 1722 1942 2009 2058 2378 2401 2842 2913 3567 4018 4263 4802 5826 6027 6797 7134 7203 8323 8526 9947 12054 13594 14063 14406 16646 19894 20391 24969 28126 28159 29841 39811 40782 42189 47579 49938 56318 58261 59682 69629 79622 84378 84477 95158 98441 116522 119433 139258 142737 168954 174783 196882 197113 208887 238866 278677 285474 295323 333053 349566 394226 407827 417774 557354 590646 591339 666106 815654 836031 999159 1154519 1182678 1223481 1379791 1672062 1950739 1998318 2309038 2331371 2446962 2759582 2854789 3463557 3901478 4139373 4662742 5709578 5852217 6927114 6994113 8081633 8278746 8564367 9658537 11704434 13655173 13988226 16163266 17128734 19317074 24244899 27310346 28975611 40965519 48489798 56571431 57951222 67609759 81931038 95586211 113142862 135219518 169714293 191172422 202829277 286758633 339428586 396000017 405658554 573517266 792000034 1188000051 2376000102 2772000119 5544000238 8316000357 16632000714