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16220060164 = 22721128272
BaseRepresentation
bin11110001101100101…
…00111101000000100
31112212101220102121001
433012302213220010
5231204313411124
611241300103044
71112643144100
oct170662475004
945771812531
1016220060164
11697388a300
123188094a84
1316b6545149
14adc296900
1564deb3b44
hex3c6ca7a04

16220060164 has 81 divisors (see below), whose sum is σ = 36337999719. Its totient is φ = 6311862480.

The previous prime is 16220060159. The next prime is 16220060173. The reversal of 16220060164 is 46106002261.

The square root of 16220060164 is 127358.

It is a perfect power (a square), and thus also a powerful number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19612719 + ... + 19613545.

Almost surely, 216220060164 is an apocalyptic number.

16220060164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16220060164 is the 127358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16220060164

16220060164 is an abundant number, since it is smaller than the sum of its proper divisors (20117939555).

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

16220060164 is an equidigital number, since it uses as much as digits as its factorization.

16220060164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 16220060164 in words is "sixteen billion, two hundred twenty million, sixty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 484 539 827 847 1078 1654 1694 2156 3308 3388 5789 5929 9097 11578 11858 18194 23156 23716 36388 40523 63679 81046 100067 127358 162092 200134 254716 400268 445753 683929 700469 891506 1367858 1400938 1783012 2735716 2801876 4787503 4903283 7523219 9575006 9806566 15046438 19150012 19613132 30092876 33512521 52662533 67025042 82755409 105325066 134050084 165510818 210650132 331021636 368637731 579287863 737275462 1158575726 1474550924 2317151452 4055015041 8110030082 16220060164