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16214741892384 = 253744515421047
BaseRepresentation
bin1110101111110100100111…
…1011100011110100100000
32010102010002020112012211020
43223331021323203310200
54111130242411024014
654252541040045440
73262322264001540
oct353751173436440
963363066465736
1016214741892384
1151916a7098602
12199a638303880
13908074a32719
14400b24c37320
151d1bb167d1a9
hexebf49ee3d20

16214741892384 has 96 divisors (see below), whose sum is σ = 48655163483136. Its totient is φ = 4631741702400.

The previous prime is 16214741892337. The next prime is 16214741892389. The reversal of 16214741892384 is 48329814741261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×162147418923842 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16214741892389) 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, 280549 + ... + 5701595.

It is an arithmetic number, because the mean of its divisors is an integer number (506824619616).

Almost surely, 216214741892384 is an apocalyptic number.

16214741892384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16214741892384 is an abundant number, since it is smaller than the sum of its proper divisors (32440421590752).

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

16214741892384 is a wasteful number, since it uses less digits than its factorization.

16214741892384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5425518 (or 5425510 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 16214741892384 in words is "sixteen trillion, two hundred fourteen billion, seven hundred forty-one million, eight hundred ninety-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4451 8902 13353 17804 26706 31157 35608 53412 62314 71216 93471 106824 124628 142432 186942 213648 249256 373884 427296 498512 747768 997024 1495536 2991072 5421047 10842094 16263141 21684188 32526282 37947329 43368376 65052564 75894658 86736752 113841987 130105128 151789316 173473504 227683974 260210256 303578632 455367948 520420512 607157264 910735896 1214314528 1821471792 3642943584 24129080197 48258160394 72387240591 96516320788 144774481182 168903561379 193032641576 289548962364 337807122758 386065283152 506710684137 579097924728 675614245516 772130566304 1013421368274 1158195849456 1351228491032 2026842736548 2316391698912 2702456982064 4053685473096 5404913964128 8107370946192 16214741892384