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137441662051632 = 243171923338046851
BaseRepresentation
bin11111010000000010100001…
…011100011010010100110000
3200000122021221202001010212020
4133100002201130122110300
5121003321010441123012
61204151454454031440
740643555340364251
oct3720024134322460
9600567852033766
10137441662051632
113a87a7551499a4
12134b9146648580
135b8c901a21bb3
1425d22d77acb28
1510d528e032a8c
hex7d00a171a530

137441662051632 has 160 divisors (see below), whose sum is σ = 397428284747520. Its totient is φ = 40674213273600.

The previous prime is 137441662051601. The next prime is 137441662051709. The reversal of 137441662051632 is 236150266144731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15410994 + ... + 22635857.

It is an arithmetic number, because the mean of its divisors is an integer number (2483926779672).

Almost surely, 2137441662051632 is an apocalyptic number.

137441662051632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137441662051632 is an abundant number, since it is smaller than the sum of its proper divisors (259986622695888).

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

137441662051632 is a wasteful number, since it uses less digits than its factorization.

137441662051632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38047131 (or 38047125 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 137441662051632 in words is "one hundred thirty-seven trillion, four hundred forty-one billion, six hundred sixty-two million, fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 233 272 304 323 408 456 466 646 699 816 912 932 969 1292 1398 1864 1938 2584 2796 3728 3876 3961 4427 5168 5592 7752 7922 8854 11184 11883 13281 15504 15844 17708 23766 26562 31688 35416 47532 53124 63376 70832 75259 95064 106248 150518 190128 212496 225777 301036 451554 602072 903108 1204144 1806216 3612432 38046851 76093702 114140553 152187404 228281106 304374808 456562212 608749616 646796467 722890169 913124424 1293592934 1445780338 1826248848 1940389401 2168670507 2587185868 2891560676 3880778802 4337341014 5174371736 5783121352 7761557604 8674682028 8864916283 10348743472 11566242704 12289132873 15523115208 17349364056 17729832566 24578265746 26594748849 31046230416 34698728112 35459665132 36867398619 49156531492 53189497698 70919330264 73734797238 98313062984 106378995396 141838660528 147469594476 150703576811 168433409377 196626125968 212757990792 294939188952 301407153622 336866818754 425515981584 452110730433 505300228131 589878377904 602814307244 673733637508 904221460866 1010600456262 1205628614488 1347467275016 1808442921732 2021200912524 2411257228976 2694934550032 2863367959409 3616885843464 4042401825048 5726735918818 7233771686928 8084803650096 8590103878227 11453471837636 17180207756454 22906943675272 34360415512908 45813887350544 68720831025816 137441662051632