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16104849432 = 23373115120479
BaseRepresentation
bin11101111111110110…
…01000000000011000
31112120101010010011220
432333323020000120
5230440320140212
611222022452040
71110043650540
oct167773100030
945511103156
1016104849432
116914849821
123155594020
131698707109
14acac66320
15643d0738c
hex3bfec8018

16104849432 has 128 divisors (see below), whose sum is σ = 47815065600. Its totient is φ = 4423248000.

The previous prime is 16104849427. The next prime is 16104849433. The reversal of 16104849432 is 23494840161.

16104849432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16104849433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 776169 + ... + 796647.

It is an arithmetic number, because the mean of its divisors is an integer number (373555200).

Almost surely, 216104849432 is an apocalyptic number.

16104849432 is a gapful number since it is divisible by the number (12) 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 16104849432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907532800).

16104849432 is an abundant number, since it is smaller than the sum of its proper divisors (31710216168).

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

16104849432 is a wasteful number, since it uses less digits than its factorization.

16104849432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677 (or 20673 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 16104849432 in words is "sixteen billion, one hundred four million, eight hundred forty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 151 168 186 217 248 302 372 434 453 604 651 744 868 906 1057 1208 1302 1736 1812 2114 2604 3171 3624 4228 4681 5208 6342 8456 9362 12684 14043 18724 20479 25368 28086 32767 37448 40958 56172 61437 65534 81916 98301 112344 122874 131068 143353 163832 196602 245748 262136 286706 393204 430059 491496 573412 634849 786408 860118 1146824 1269698 1720236 1904547 2539396 3092329 3440472 3809094 4443943 5078792 6184658 7618188 8887886 9276987 12369316 13331829 15236376 17775772 18553974 21646303 24738632 26663658 35551544 37107948 43292606 53327316 64938909 74215896 86585212 95862199 106654632 129877818 173170424 191724398 259755636 287586597 383448796 519511272 575173194 671035393 766897592 1150346388 1342070786 2013106179 2300692776 2684141572 4026212358 5368283144 8052424716 16104849432