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42033972384 = 2533192560549
BaseRepresentation
bin100111001001011010…
…111000010010100000
311000111102100001002000
4213021122320102200
51142041144104014
631150553524000
73015432604305
oct471132702240
9130442301060
1042033972384
1116910099658
128191113600
133c6b592a11
14206a78b0ac
15116035a509
hex9c96b84a0

42033972384 has 96 divisors (see below), whose sum is σ = 129051720000. Its totient is φ = 13273880832.

The previous prime is 42033972373. The next prime is 42033972389. The reversal of 42033972384 is 48327933024.

42033972384 is a `hidden beast` number, since 4 + 20 + 3 + 397 + 238 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42033972389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1263859 + ... + 1296690.

It is an arithmetic number, because the mean of its divisors is an integer number (1344288750).

Almost surely, 242033972384 is an apocalyptic number.

It is an amenable number.

42033972384 is an abundant number, since it is smaller than the sum of its proper divisors (87017747616).

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

42033972384 is a wasteful number, since it uses less digits than its factorization.

42033972384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560587 (or 2560573 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42033972384 in words is "forty-two billion, thirty-three million, nine hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 2560549 5121098 7681647 10242196 15363294 20484392 23044941 30726588 40968784 46089882 48650431 61453176 69134823 81937568 92179764 97300862 122906352 138269646 145951293 184359528 194601724 245812704 276539292 291902586 368719056 389203448 437853879 553078584 583805172 737438112 778406896 875707758 1106157168 1167610344 1313561637 1556813792 1751415516 2212314336 2335220688 2627123274 3502831032 4670441376 5254246548 7005662064 10508493096 14011324128 21016986192 42033972384