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40532053600 = 2552233171059
BaseRepresentation
bin100101101111111001…
…100000111001100000
310212121202012122211101
4211233321200321200
51131002201203400
630341542324144
72633264525323
oct455771407140
9125552178741
1040532053600
111620a318865
127a32129654
133a8c37b28c
141d671087ba
1510c358256a
hex96fe60e60

40532053600 has 144 divisors (see below), whose sum is σ = 106583178240. Its totient is φ = 15007449600.

The previous prime is 40532053589. The next prime is 40532053649. The reversal of 40532053600 is 635023504.

40532053600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534871 + ... + 605929.

It is an arithmetic number, because the mean of its divisors is an integer number (740160960).

Almost surely, 240532053600 is an apocalyptic number.

40532053600 is a gapful number since it is divisible by the number (40) 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 40532053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53291589120).

40532053600 is an abundant number, since it is smaller than the sum of its proper divisors (66051124640).

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

40532053600 is a wasteful number, since it uses less digits than its factorization.

40532053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71133 (or 71120 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 40532053600 in words is "forty billion, five hundred thirty-two million, fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 31 32 40 46 50 62 80 92 100 115 124 155 160 184 200 230 248 310 368 400 460 496 575 620 713 736 775 800 920 992 1150 1240 1426 1550 1840 2300 2480 2852 3100 3565 3680 4600 4960 5704 6200 7130 9200 11408 12400 14260 17825 18400 22816 24800 28520 35650 57040 71059 71300 114080 142118 142600 284236 285200 355295 568472 570400 710590 1136944 1421180 1634357 1776475 2202829 2273888 2842360 3268714 3552950 4405658 5684720 6537428 7105900 8171785 8811316 11014145 11369440 13074856 14211800 16343570 17622632 22028290 26149712 28423600 32687140 35245264 40858925 44056580 50665067 52299424 55070725 56847200 65374280 70490528 81717850 88113160 101330134 110141450 130748560 163435700 176226320 202660268 220282900 253325335 261497120 326871400 352452640 405320536 440565800 506650670 653742800 810641072 881131600 1013301340 1266626675 1307485600 1621282144 1762263200 2026602680 2533253350 4053205360 5066506700 8106410720 10133013400 20266026800 40532053600