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42780006762 = 23172327691031
BaseRepresentation
bin100111110101111000…
…110001100101101010
311002102102010111211220
4213311320301211222
51200103140204022
631353004002510
73043062025533
oct476570614552
9132372114756
1042780006762
1117163220299
12835ab30436
134059ccc48c
1420db8a968a
1511a5ac285c
hex9f5e3196a

42780006762 has 96 divisors (see below), whose sum is σ = 94918158720. Its totient is φ = 12808519680.

The previous prime is 42780006749. The next prime is 42780006781. The reversal of 42780006762 is 26760008724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41493187 + ... + 41494217.

It is an arithmetic number, because the mean of its divisors is an integer number (988730820).

Almost surely, 242780006762 is an apocalyptic number.

42780006762 is an abundant number, since it is smaller than the sum of its proper divisors (52138151958).

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

42780006762 is a wasteful number, since it uses less digits than its factorization.

42780006762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 42780006762 in words is "forty-two billion, seven hundred eighty million, six thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 102 138 391 529 769 782 1031 1058 1173 1538 1587 2062 2307 2346 3093 3174 4614 6186 8993 13073 17527 17687 17986 23713 26146 26979 35054 35374 39219 47426 52581 53061 53958 71139 78438 105162 106122 142278 300679 403121 406801 545399 601358 792839 806242 813602 902037 1090798 1209363 1220403 1585678 1636197 1804074 2378517 2418726 2440806 3272394 4757034 6915617 9271783 13478263 13831234 18235297 18543566 20746851 26956526 27815349 36470594 40434789 41493702 54705891 55630698 80869578 109411782 310000049 419411831 620000098 838823662 930000147 1258235493 1860000294 2516470986 7130001127 14260002254 21390003381 42780006762