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601981670016 = 2733409425879
BaseRepresentation
bin10001100001010001110…
…01110101001010000000
32010112211010201022201000
420300220321311022000
534330324301420031
61140314020212000
761330444524426
oct10605071651200
92115733638630
10601981670016
11212331a60611
129880253a000
13449c738760c
14211c952b116
15109d3d0e3e6
hex8c28e75280

601981670016 has 128 divisors (see below), whose sum is σ = 1781030160000. Its totient is φ = 200169474048.

The previous prime is 601981669997. The next prime is 601981670083. The reversal of 601981670016 is 610076189106.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1200565 + ... + 1626443.

It is an arithmetic number, because the mean of its divisors is an integer number (13914298125).

Almost surely, 2601981670016 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 601981670016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890515080000).

601981670016 is an abundant number, since it is smaller than the sum of its proper divisors (1179048489984).

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

601981670016 is a wasteful number, since it uses less digits than its factorization.

601981670016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426311 (or 426293 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 601981670016 in words is "six hundred one billion, nine hundred eighty-one million, six hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 409 432 576 818 864 1152 1227 1636 1728 2454 3272 3456 3681 4908 6544 7362 9816 11043 13088 14724 19632 22086 26176 29448 39264 44172 52352 58896 78528 88344 117792 157056 176688 235584 353376 425879 471168 706752 851758 1277637 1413504 1703516 2555274 3407032 3832911 5110548 6814064 7665822 10221096 11498733 13628128 15331644 20442192 22997466 27256256 30663288 40884384 45994932 54512512 61326576 81768768 91989864 122653152 163537536 174184511 183979728 245306304 348369022 367959456 490612608 522553533 696738044 735918912 1045107066 1393476088 1471837824 1567660599 2090214132 2786952176 3135321198 4180428264 4702981797 5573904352 6270642396 8360856528 9405963594 11147808704 12541284792 16721713056 18811927188 22295617408 25082569584 33443426112 37623854376 50165139168 66886852224 75247708752 100330278336 150495417504 200660556672 300990835008 601981670016