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149496675904 = 2617228432
BaseRepresentation
bin1000101100111010110…
…0100011111001000000
3112021212200101000000101
42023032230203321000
54422132122112104
6152402224332144
713541444531032
oct2131654437100
9467780330011
10149496675904
1158445a81324
1224b82174054
1311136202354
1473429b1c52
153d4e80b5a4
hex22ceb23e40

149496675904 has 63 divisors (see below), whose sum is σ = 315245286577. Its totient is φ = 70326631424.

The previous prime is 149496675899. The next prime is 149496675941. The reversal of 149496675904 is 409576694941.

The square root of 149496675904 is 386648.

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

It can be written as a sum of positive squares in only one way, i.e., 116390145600 + 33106530304 = 341160^2 + 181952^2 .

It is a super-2 number, since 2×1494966759042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 52582707 + ... + 52585549.

Almost surely, 2149496675904 is an apocalyptic number.

149496675904 is the 386648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149496675904

149496675904 is an abundant number, since it is smaller than the sum of its proper divisors (165748610673).

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

149496675904 is an frugal number, since it uses more digits than its factorization.

149496675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5732 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 149496675904 by its sum of digits (64), we get a square (9567787257856 = 30931842).

149496675904 divided by its sum of digits (64) gives a square (2335885561 = 483312).

The spelling of 149496675904 in words is "one hundred forty-nine billion, four hundred ninety-six million, six hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 2843 4624 5686 9248 11372 18496 22744 45488 48331 90976 96662 181952 193324 386648 773296 821627 1546592 1643254 3093184 3286508 6573016 8082649 13146032 16165298 26292064 32330596 52584128 64661192 129322384 137405033 258644768 274810066 517289536 549620132 1099240264 2198480528 2335885561 4396961056 4671771122 8793922112 9343542244 18687084488 37374168976 74748337952 149496675904