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16172147992 = 23711138922691
BaseRepresentation
bin11110000111110111…
…10110010100011000
31112202001202020110011
433003323312110120
5231110032213432
611232425131304
71111521663340
oct170373662430
945661666404
1016172147992
116949835170
123174029b34
1316a963b150
14ad5b83d20
15649b9c847
hex3c3ef6518

16172147992 has 128 divisors (see below), whose sum is σ = 41172364800. Its totient is φ = 5750553600.

The previous prime is 16172147969. The next prime is 16172147993. The reversal of 16172147992 is 29974127161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16172147993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701367 + ... + 724057.

It is an arithmetic number, because the mean of its divisors is an integer number (321659100).

Almost surely, 216172147992 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 16172147992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20586182400).

16172147992 is an abundant number, since it is smaller than the sum of its proper divisors (25000216808).

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

16172147992 is a wasteful number, since it uses less digits than its factorization.

16172147992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22817 (or 22813 counting only the distinct ones).

The product of its digits is 381024, while the sum is 49.

The spelling of 16172147992 in words is "sixteen billion, one hundred seventy-two million, one hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 89 91 104 143 154 178 182 286 308 356 364 572 616 623 712 728 979 1001 1144 1157 1246 1958 2002 2314 2492 3916 4004 4628 4984 6853 7832 8008 8099 9256 12727 13706 16198 22691 25454 27412 32396 45382 50908 54824 64792 89089 90764 101816 158837 178178 181528 249601 294983 317674 356356 499202 589966 635348 712712 998404 1179932 1270696 1747207 1996808 2019499 2064881 2359864 3244813 3494414 4038998 4129762 6489626 6988828 8077996 8259524 12979252 13977656 14136493 16155992 16519048 22214489 22713691 25958504 26253487 28272986 44428978 45427382 52506974 56545972 88857956 90854764 105013948 113091944 155501423 177715912 181709528 183774409 210027896 288788357 311002846 367548818 577576714 622005692 735097636 1155153428 1244011384 1470195272 2021518499 2310306856 4043036998 8086073996 16172147992