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149049272761 = 61263292
BaseRepresentation
bin1000101011010000000…
…1110110100110111001
3112020201111111120021121
42022310001312212321
54420223103212021
6152250003105241
713524402625504
oct2126401664671
9466644446247
10149049272761
1158236479764
1224a78372221
131109460466c
1472dd3cc13b
153d253d2741
hex22b40769b9

149049272761 has 9 divisors (see below), whose sum is σ = 151556706093. Its totient is φ = 146582677920.

The previous prime is 149049272717. The next prime is 149049272783. The reversal of 149049272761 is 167272940941.

It is a happy number.

The square root of 149049272761 is 386069.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15371288361 + 133677984400 = 123981^2 + 365620^2 .

It is not a de Polignac number, because 149049272761 - 213 = 149049264569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149049272699 and 149049272708.

It is not an unprimeable number, because it can be changed into a prime (149049272711) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23547045 + ... + 23553373.

Almost surely, 2149049272761 is an apocalyptic number.

149049272761 is the 386069-th square number.

149049272761 is the 193035-th centered octagonal number.

It is an amenable number.

149049272761 is a deficient number, since it is larger than the sum of its proper divisors (2507433332).

149049272761 is an frugal number, since it uses more digits than its factorization.

149049272761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 149049272761 in words is "one hundred forty-nine billion, forty-nine million, two hundred seventy-two thousand, seven hundred sixty-one".

Divisors: 1 61 3721 6329 386069 23550209 40056241 2443430701 149049272761