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16946540952 = 23311193378497
BaseRepresentation
bin11111100100001011…
…11011000110011000
31121202000220110212220
433302011323012120
5234201303302302
611441331104040
71136644135635
oct176205730630
947660813786
1016946540952
117206976050
12334b442020
1317a0bc6733
14b6a96518c
15692b674bc
hex3f217b198

16946540952 has 64 divisors (see below), whose sum is σ = 48650371200. Its totient is φ = 4865034240.

The previous prime is 16946540951. The next prime is 16946540953. The reversal of 16946540952 is 25904564961.

It is an interprime number because it is at equal distance from previous prime (16946540951) and next prime (16946540953).

It is a junction number, because it is equal to n+sod(n) for n = 16946540895 and 16946540904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16946540951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684233 + ... + 1694264.

It is an arithmetic number, because the mean of its divisors is an integer number (760162050).

Almost surely, 216946540952 is an apocalyptic number.

16946540952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16946540952 is an abundant number, since it is smaller than the sum of its proper divisors (31703830248).

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

16946540952 is a wasteful number, since it uses less digits than its factorization.

16946540952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378536 (or 3378532 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 16946540952 in words is "sixteen billion, nine hundred forty-six million, five hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 3378497 6756994 10135491 13513988 20270982 27027976 37163467 40541964 64191443 74326934 81083928 111490401 128382886 148653868 192574329 222980802 256765772 297307736 385148658 445961604 513531544 706105873 770297316 891923208 1412211746 1540594632 2118317619 2824423492 4236635238 5648846984 8473270476 16946540952