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49152031611920 = 24512745911053757
BaseRepresentation
bin10110010110100000110010…
…11000100101110000010000
320110000212222121000221011022
423023100121120211300100
522420301330043040140
6252312044231535012
713232055110146136
oct1313203130456020
9213025877027138
1049152031611920
11147302944aa466
125619babb2a468
13215702a89b823
14c1cd846b9756
155a38555320b5
hex2cb419625c10

49152031611920 has 80 divisors (see below), whose sum is σ = 115203501170688. Its totient is φ = 19501735841280.

The previous prime is 49152031611869. The next prime is 49152031611953. The reversal of 49152031611920 is 2911613025194.

It is a tau number, because it is divible by the number of its divisors (80).

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, 46117682 + ... + 47171438.

Almost surely, 249152031611920 is an apocalyptic number.

49152031611920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49152031611920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57601750585344).

49152031611920 is an abundant number, since it is smaller than the sum of its proper divisors (66051469558768).

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

49152031611920 is a wasteful number, since it uses less digits than its factorization.

49152031611920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058488 (or 1058482 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 44.

The spelling of 49152031611920 in words is "forty-nine trillion, one hundred fifty-two billion, thirty-one million, six hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4591 5080 9182 10160 18364 22955 36728 45910 73456 91820 183640 367280 583057 1053757 1166114 2107514 2332228 2915285 4215028 4664456 5268785 5830570 8430056 9328912 10537570 11661140 16860112 21075140 23322280 42150280 46644560 84300560 133827139 267654278 535308556 669135695 1070617112 1338271390 2141234224 2676542780 4837798387 5353085560 9675596774 10706171120 19351193548 24188991935 38702387096 48377983870 77404774192 96755967740 193511935480 387023870960 614400395149 1228800790298 2457601580596 3072001975745 4915203161192 6144003951490 9830406322384 12288007902980 24576015805960 49152031611920