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149916052552 = 23710145075881
BaseRepresentation
bin1000101110011110110…
…0010110110001001000
3112022221220111112121211
42023213230112301020
54424012002140202
6152512005142504
713555026264340
oct2134754266110
9468856445554
10149916052552
11586407811a2
122507a6baa34
13111a2069406
14738257bd20
153d7654b1d7
hex22e7b16c48

149916052552 has 64 divisors (see below), whose sum is σ = 324556525440. Its totient is φ = 63588672000.

The previous prime is 149916052549. The next prime is 149916052577. The reversal of 149916052552 is 255250619941.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149916052496 and 149916052505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25488652 + ... + 25494532.

It is an arithmetic number, because the mean of its divisors is an integer number (5071195710).

Almost surely, 2149916052552 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 149916052552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162278262720).

149916052552 is an abundant number, since it is smaller than the sum of its proper divisors (174640472888).

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

149916052552 is a wasteful number, since it uses less digits than its factorization.

149916052552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 149916052552 in words is "one hundred forty-nine billion, nine hundred sixteen million, fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 707 808 1414 2828 4507 5656 5881 9014 11762 18028 23524 31549 36056 41167 47048 63098 82334 126196 164668 252392 329336 455207 593981 910414 1187962 1820828 2375924 3186449 3641656 4157867 4751848 6372898 8315734 12745796 16631468 25491592 26505667 33262936 53011334 106022668 185539669 212045336 371079338 742158676 1484317352 2677072367 5354144734 10708289468 18739506569 21416578936 37479013138 74958026276 149916052552