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46221376968 = 233213219492
BaseRepresentation
bin101011000011000000…
…100011110111001000
311102022020200020021200
4223003000203313020
51224130133030333
633122300304200
73224260136034
oct530300436710
9142266606250
1046221376968
11186698426a8
128b5b542060
134487c7b700
1423469651c4
151307c9cc13
hexac3023dc8

46221376968 has 108 divisors (see below), whose sum is σ = 135622662435. Its totient is φ = 14214665088.

The previous prime is 46221376967. The next prime is 46221376973. The reversal of 46221376968 is 86967312264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

46221376968 is a `hidden beast` number, since 4 + 622 + 1 + 3 + 7 + 6 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 20243029284 + 25978347684 = 142278^2 + 161178^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=152022.

It is a super-3 number, since 3×462213769683 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46221376961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23714458 + ... + 23716406.

Almost surely, 246221376968 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 46221376968

46221376968 is an abundant number, since it is smaller than the sum of its proper divisors (89401285467).

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

46221376968 is a wasteful number, since it uses less digits than its factorization.

46221376968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 1967 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 46221376968 in words is "forty-six billion, two hundred twenty-one million, three hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 1949 2028 3042 3898 4056 5847 6084 7796 11694 12168 15592 17541 23388 25337 35082 46776 50674 70164 76011 101348 140328 152022 202696 228033 304044 329381 456066 608088 658762 912132 988143 1317524 1824264 1976286 2635048 2964429 3798601 3952572 5928858 7597202 7905144 11395803 11857716 15194404 22791606 23715432 30388808 34187409 45583212 49381813 68374818 91166424 98763626 136749636 148145439 197527252 273499272 296290878 395054504 444436317 592581756 641963569 888872634 1185163512 1283927138 1777745268 1925890707 2567854276 3555490536 3851781414 5135708552 5777672121 7703562828 11555344242 15407125656 23110688484 46221376968