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16212121968 = 2437211875807
BaseRepresentation
bin11110001100101000…
…10101100101110000
31112211211222010102210
433012110111211300
5231200300400333
611240414012120
71112515522500
oct170624254560
945754863383
1016212121968
11696a358209
1231854a7040
1316b49c5ba3
14adb1cba00
1564d446a63
hex3c6515970

16212121968 has 120 divisors (see below), whose sum is σ = 48768521472. Its totient is φ = 4627335552.

The previous prime is 16212121967. The next prime is 16212121997. The reversal of 16212121968 is 86912121261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16212121967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2788921 + ... + 2794727.

Almost surely, 216212121968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16212121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24384260736).

16212121968 is an abundant number, since it is smaller than the sum of its proper divisors (32556399504).

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

16212121968 is a wasteful number, since it uses less digits than its factorization.

16212121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 7006 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The spelling of 16212121968 in words is "sixteen billion, two hundred twelve million, one hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1187 2352 2374 3561 4748 5807 7122 8309 9496 11614 14244 16618 17421 18992 23228 24927 28488 33236 34842 40649 46456 49854 56976 58163 66472 69684 81298 92912 99708 116326 121947 132944 139368 162596 174489 199416 232652 243894 278736 284543 325192 348978 398832 465304 487788 569086 650384 697956 853629 930608 975576 1138172 1395912 1707258 1951152 2276344 2791824 3414516 4552688 6829032 6892909 13658064 13785818 20678727 27571636 41357454 48250363 55143272 82714908 96500726 110286544 144751089 165429816 193001452 289502178 330859632 337752541 386002904 579004356 675505082 772005808 1013257623 1158008712 1351010164 2026515246 2316017424 2702020328 4053030492 5404040656 8106060984 16212121968