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42977102532 = 223713139283139
BaseRepresentation
bin101000000001101000…
…101000101011000100
311002221011000000102020
4220001220220223010
51201004114240112
631424324243140
73051004226010
oct500150505304
9132834000366
1042977102532
11172544aa261
1283b4b404b0
13408baaa8b0
142119b33540
1511b805648c
hexa01a28ac4

42977102532 has 96 divisors (see below), whose sum is σ = 124309785600. Its totient is φ = 11253036672.

The previous prime is 42977102521. The next prime is 42977102549. The reversal of 42977102532 is 23520177924.

It is a super-2 number, since 2×429771025322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10219 + ... + 293357.

It is an arithmetic number, because the mean of its divisors is an integer number (1294893600).

Almost surely, 242977102532 is an apocalyptic number.

42977102532 is a gapful number since it is divisible by the number (42) 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 42977102532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62154892800).

42977102532 is an abundant number, since it is smaller than the sum of its proper divisors (81332683068).

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

42977102532 is a wasteful number, since it uses less digits than its factorization.

42977102532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283305 (or 283303 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 42977102532 in words is "forty-two billion, nine hundred seventy-seven million, one hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 139 156 182 273 278 364 417 546 556 834 973 1092 1668 1807 1946 2919 3614 3892 5421 5838 7228 10842 11676 12649 21684 25298 37947 50596 75894 151788 283139 566278 849417 1132556 1698834 1981973 3397668 3680807 3963946 5945919 7361614 7927892 11042421 11891838 14723228 22084842 23783676 25765649 39356321 44169684 51531298 77296947 78712642 103062596 118068963 154593894 157425284 236137926 275494247 309187788 472275852 511632173 550988494 826482741 1023264346 1101976988 1534896519 1652965482 2046528692 3069793038 3305930964 3581425211 6139586076 7162850422 10744275633 14325700844 21488551266 42977102532