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42247358784 = 2633171438159
BaseRepresentation
bin100111010110001000…
…111000100101000000
311001001021212012012000
4213112020320211000
51143010310440114
631224055304000
73023633424141
oct472610704500
9131037765160
1042247358784
1116a0a594a54
12823067b000
133ca3856067
14208ac55ac8
151173e5ae09
hex9d6238940

42247358784 has 112 divisors (see below), whose sum is σ = 131505350400. Its totient is φ = 13254064128.

The previous prime is 42247358753. The next prime is 42247358821. The reversal of 42247358784 is 48785374224.

42247358784 is a `hidden beast` number, since 42 + 2 + 473 + 58 + 7 + 84 = 666.

It is a super-3 number, since 3×422473587843 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42247358784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689704 + ... + 748455.

Almost surely, 242247358784 is an apocalyptic number.

It is an amenable number.

42247358784 is an abundant number, since it is smaller than the sum of its proper divisors (89257991616).

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

42247358784 is a wasteful number, since it uses less digits than its factorization.

42247358784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438197 (or 1438181 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 42247358784 in words is "forty-two billion, two hundred forty-seven million, three hundred fifty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 1438159 2876318 4314477 5752636 8628954 11505272 12943431 17257908 23010544 24448703 25886862 34515816 38830293 46021088 48897406 51773724 69031632 73346109 77660586 92042176 97794812 103547448 138063264 146692218 155321172 195589624 207094896 220038327 276126528 293384436 310642344 391179248 414189792 440076654 586768872 621284688 660114981 782358496 828379584 880153308 1173537744 1242569376 1320229962 1564716992 1760306616 2347075488 2485138752 2640459924 3520613232 4694150976 5280919848 7041226464 10561839696 14082452928 21123679392 42247358784