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42607981584 = 243571565549
BaseRepresentation
bin100111101011101000…
…100011010000010000
311001222102102201200000
4213223220203100100
51144230120402314
631323540530000
73035602603440
oct475350432020
9131872381600
1042607981584
1117085105223
1283113b0900
13403048b42c
1420c2aca120
151195942209
hex9eba23410

42607981584 has 120 divisors (see below), whose sum is σ = 141325329600. Its totient is φ = 12173701248.

The previous prime is 42607981573. The next prime is 42607981609. The reversal of 42607981584 is 48518970624.

It is a happy number.

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 42607981584.

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, 755559 + ... + 809990.

It is an arithmetic number, because the mean of its divisors is an integer number (1177711080).

Almost surely, 242607981584 is an apocalyptic number.

It is an amenable number.

42607981584 is an abundant number, since it is smaller than the sum of its proper divisors (98717348016).

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

42607981584 is a wasteful number, since it uses less digits than its factorization.

42607981584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565579 (or 1565561 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 42607981584 in words is "forty-two billion, six hundred seven million, nine hundred eighty-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 1565549 3131098 4696647 6262196 9393294 10958843 12524392 14089941 18786588 21917686 25048784 28179882 32876529 37573176 42269823 43835372 56359764 65753058 75146352 84539646 87670744 98629587 112719528 126809469 131506116 169079292 175341488 197259174 225439056 253618938 263012232 295888761 338158584 380428407 394518348 507237876 526024464 591777522 676317168 760856814 789036696 887666283 1014475752 1183555044 1521713628 1578073392 1775332566 2028951504 2367110088 2662998849 3043427256 3550665132 4734220176 5325997698 6086854512 7101330264 10651995396 14202660528 21303990792 42607981584