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148051031076 = 223213249332
BaseRepresentation
bin1000100111100010000…
…1110111010000100100
3112011010221010122010100
42021320201313100210
54411202030443301
6152002543224100
713460562000054
oct2117041672044
9464127118110
10148051031076
1157873a46a33
1224839ba8030
1310c65861900
1472469bb564
153cb794c286
hex2278877424

148051031076 has 81 divisors (see below), whose sum is σ = 405324411219. Its totient is φ = 45544928832.

The previous prime is 148051031003. The next prime is 148051031099. The reversal of 148051031076 is 670130150841.

The square root of 148051031076 is 384774.

It is a perfect power (a square), and thus also a powerful number.

148051031076 is a `hidden beast` number, since 1 + 48 + 0 + 510 + 31 + 0 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44932976676 + 103118054400 = 211974^2 + 321120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 148051031076.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30009906 + ... + 30014838.

Almost surely, 2148051031076 is an apocalyptic number.

148051031076 is the 384774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148051031076

148051031076 is an abundant number, since it is smaller than the sum of its proper divisors (257273380143).

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

148051031076 is an equidigital number, since it uses as much as digits as its factorization.

148051031076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 148051031076 by its sum of digits (36), we get a square (5329837118736 = 23086442).

148051031076 divided by its sum of digits (36) gives a square (4112528641 = 641292).

The spelling of 148051031076 in words is "one hundred forty-eight billion, fifty-one million, thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4933 6084 9866 14799 19732 29598 44397 59196 64129 88794 128258 177588 192387 256516 384774 577161 769548 833677 1154322 1667354 2308644 2501031 3334708 5002062 7503093 10004124 15006186 24334489 30012372 48668978 73003467 97337956 146006934 219010401 292013868 316348357 438020802 632696714 876041604 949045071 1265393428 1898090142 2847135213 3796180284 4112528641 5694270426 8225057282 11388540852 12337585923 16450114564 24675171846 37012757769 49350343692 74025515538 148051031076