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16401712205772 = 22331231431233263
BaseRepresentation
bin1110111010101101001000…
…1110101100111111001100
32011001222200112011020111000
43232223102032230333030
54122211201311041042
654514501554500300
73311661501306165
oct356532216547714
964058615136430
1016401712205772
115253a21a48363
121a0a918294690
1391c8a078775a
14409bc066276c
151d69a5c8974c
hexeead23acfcc

16401712205772 has 48 divisors (see below), whose sum is σ = 42523337364480. Its totient is φ = 5467188571344.

The previous prime is 16401712205737. The next prime is 16401712205783. The reversal of 16401712205772 is 27750221710461.

It is a happy number.

16401712205772 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 1 + 71 + 2 + 2 + 0 + 577 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12682813 + ... + 13916075.

It is an arithmetic number, because the mean of its divisors is an integer number (885902861760).

Almost surely, 216401712205772 is an apocalyptic number.

16401712205772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16401712205772 is an abundant number, since it is smaller than the sum of its proper divisors (26121625158708).

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

16401712205772 is a wasteful number, since it uses less digits than its factorization.

16401712205772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356419 (or 1356411 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 16401712205772 in words is "sixteen trillion, four hundred one billion, seven hundred twelve million, two hundred five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 123143 246286 369429 492572 738858 1108287 1233263 1477716 2216574 2466526 3324861 3699789 4433148 4933052 6649722 7399578 11099367 13299444 14799156 22198734 33298101 44397468 66596202 133192404 151867705609 303735411218 455603116827 607470822436 911206233654 1366809350481 1822412467308 2733618700962 4100428051443 5467237401924 8200856102886 16401712205772