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41521051005672 = 233719310103126751
BaseRepresentation
bin10010111000011010111110…
…11111101111001011101000
312110000101002102202001000210
421130031133133233023220
520420240103024140142
6224150301342101120
711513540231213460
oct1134153737571350
9173011072661023
1041521051005672
1112258a84928607
1247a7083b7a7a0
131a22559043c34
14a378b5854ba0
154c00d023b49c
hex25c35f7ef2e8

41521051005672 has 128 divisors (see below), whose sum is σ = 119258989608960. Its totient is φ = 11800429056000.

The previous prime is 41521051005671. The next prime is 41521051005673. The reversal of 41521051005672 is 27650015012514.

It is an interprime number because it is at equal distance from previous prime (41521051005671) and next prime (41521051005673).

It is a self number, because there is not a number n which added to its sum of digits gives 41521051005672.

It is not an unprimeable number, because it can be changed into a prime (41521051005671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327516297 + ... + 327643047.

It is an arithmetic number, because the mean of its divisors is an integer number (931710856320).

Almost surely, 241521051005672 is an apocalyptic number.

41521051005672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41521051005672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59629494804480).

41521051005672 is an abundant number, since it is smaller than the sum of its proper divisors (77737938603288).

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

41521051005672 is a wasteful number, since it uses less digits than its factorization.

41521051005672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137063 (or 137059 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 41521051005672 in words is "forty-one trillion, five hundred twenty-one billion, fifty-one million, five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 193 386 579 772 1158 1351 1544 2316 2702 4053 4632 5404 8106 10103 10808 16212 20206 30309 32424 40412 60618 70721 80824 121236 126751 141442 212163 242472 253502 282884 380253 424326 507004 565768 760506 848652 887257 1014008 1521012 1697304 1774514 1949879 2661771 3042024 3549028 3899758 5323542 5849637 7098056 7799516 10647084 11699274 13649153 15599032 21294168 23398548 24462943 27298306 40947459 46797096 48925886 54596612 73388829 81894918 97851772 109193224 146777658 163789836 171240601 195703544 293555316 327579672 342481202 513721803 587110632 684962404 1027443606 1280565353 1369924808 2054887212 2561130706 3841696059 4109774424 5122261412 7683392118 8963957471 10244522824 15366784236 17927914942 26891872413 30733568472 35855829884 53783744826 71711659768 107567489652 215134979304 247149113129 494298226258 741447339387 988596452516 1482894678774 1730043791903 1977192905032 2965789357548 3460087583806 5190131375709 5931578715096 6920175167612 10380262751418 13840350335224 20760525502836 41521051005672