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152916347904 = 2103202924533
BaseRepresentation
bin1000111001101010000…
…1100100110000000000
3112121201000002100002220
42032122201210300000
510001133041113104
6154125424011040
714022260340165
oct2163241446000
9477630070086
10152916347904
1159940323531
1225777460a80
131155c8251c8
147588c2006c
153e9eb4c7d9
hex239a864c00

152916347904 has 88 divisors (see below), whose sum is σ = 407795315760. Its totient is φ = 50944917504.

The previous prime is 152916347893. The next prime is 152916347923. The reversal of 152916347904 is 409743619251.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6220822 + ... + 6245354.

Almost surely, 2152916347904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152916347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203897657880).

152916347904 is an abundant number, since it is smaller than the sum of its proper divisors (254878967856).

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

152916347904 is a wasteful number, since it uses less digits than its factorization.

152916347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26585 (or 26567 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 152916347904 in words is "one hundred fifty-two billion, nine hundred sixteen million, three hundred forty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2029 3072 4058 6087 8116 12174 16232 24348 24533 32464 48696 49066 64928 73599 97392 98132 129856 147198 194784 196264 259712 294396 389568 392528 519424 588792 779136 785056 1038848 1177584 1558272 1570112 2077696 2355168 3116544 3140224 4710336 6233088 6280448 9420672 12560896 18841344 25121792 37682688 49777457 75365376 99554914 149332371 199109828 298664742 398219656 597329484 796439312 1194658968 1592878624 2389317936 3185757248 4778635872 6371514496 9557271744 12743028992 19114543488 25486057984 38229086976 50972115968 76458173952 152916347904