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16126272404064 = 2532163343521481
BaseRepresentation
bin1110101010101011000010…
…1111001111101001100000
32010002122201122120120000200
43222222300233033221200
54103203101213412224
654144150211545200
73253041030522264
oct352526057175140
963078648516020
1016126272404064
1151581283a75a9
121985467bbb200
138cc916026574
143da7313020a4
151ce7348765c9
hexeaab0bcfa60

16126272404064 has 72 divisors (see below), whose sum is σ = 46140431376312. Its totient is φ = 5342446056960.

The previous prime is 16126272403987. The next prime is 16126272404087. The reversal of 16126272404064 is 46040427262161.

It is a happy number.

16126272404064 is a `hidden beast` number, since 1 + 6 + 12 + 627 + 2 + 4 + 0 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×161262724040642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171713797 + ... + 171807684.

It is an arithmetic number, because the mean of its divisors is an integer number (640839324671).

Almost surely, 216126272404064 is an apocalyptic number.

It is an amenable number.

16126272404064 is an abundant number, since it is smaller than the sum of its proper divisors (30014158972248).

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

16126272404064 is a wasteful number, since it uses less digits than its factorization.

16126272404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343521660 (or 343521649 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 16126272404064 in words is "sixteen trillion, one hundred twenty-six billion, two hundred seventy-two million, four hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944 343521481 687042962 1030564443 1374085924 2061128886 2748171848 3091693329 4122257772 5496343696 6183386658 8244515544 10992687392 12366773316 16489031088 24733546632 32978062176 49467093264 55994001403 98934186528 111988002806 167982004209 223976005612 335964008418 447952011224 503946012627 671928016836 895904022448 1007892025254 1343856033672 1791808044896 2015784050508 2687712067344 4031568101016 5375424134688 8063136202032 16126272404064