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133716742929 = 327211215832
BaseRepresentation
bin111110010001000100…
…0111001001100010001
3110210010221122100102100
41330202020321030101
54142322441233204
6141232325511013
712442424363400
oct1744210711421
9423127570370
10133716742929
1151788685100
1221ab9572469
13c7bcc0b1c3
146686d67637
1537292d5a39
hex1f22239311

133716742929 has 81 divisors (see below), whose sum is σ = 247118986569. Its totient is φ = 69419362320.

The previous prime is 133716742823. The next prime is 133716742949. The reversal of 133716742929 is 929247617331.

The square root of 133716742929 is 365673.

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

133716742929 is a `hidden beast` number, since 1 + 3 + 37 + 167 + 429 + 29 = 666.

It is not a de Polignac number, because 133716742929 - 29 = 133716742417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133716742949) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 84469672 + ... + 84471254.

Almost surely, 2133716742929 is an apocalyptic number.

133716742929 is the 365673-rd square number.

133716742929 is the 182837-th centered octagonal number.

It is an amenable number.

133716742929 is a deficient number, since it is larger than the sum of its proper divisors (113402243640).

133716742929 is an equidigital number, since it uses as much as digits as its factorization.

133716742929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 1604 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 133716742929 in words is "one hundred thirty-three billion, seven hundred sixteen million, seven hundred forty-two thousand, nine hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1583 1617 2541 4749 4851 5929 7623 11081 14247 17413 17787 33243 52239 53361 77567 99729 121891 156717 191543 232701 365673 574629 698103 853237 1097019 1340801 1723887 2505889 2559711 4022403 7517667 7679133 9385607 12067209 17541223 22553001 27564779 28156821 52623669 82694337 84470463 122788561 157871007 192953453 248083011 303212569 368365683 578860359 909637707 1105097049 1350674171 1736581077 2122487983 2728913121 4052022513 6367463949 12156067539 14857415881 19102391847 44572247643 133716742929