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48175966640 = 24531127152959
BaseRepresentation
bin101100110111100000…
…101110100110110000
311121100110120200020202
4230313200232212300
51242131021413030
634044242054332
73323562650144
oct546740564660
9147313520222
1048175966640
111948209386a
12940604a3a8
134709bb6749
14249039d224
1513be690745
hexb3782e9b0

48175966640 has 80 divisors (see below), whose sum is σ = 116533493760. Its totient is φ = 18501799680.

The previous prime is 48175966633. The next prime is 48175966673. The reversal of 48175966640 is 4666957184.

48175966640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 238481 + ... + 391439.

It is an arithmetic number, because the mean of its divisors is an integer number (1456668672).

Almost surely, 248175966640 is an apocalyptic number.

48175966640 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 48175966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58266746880).

48175966640 is an abundant number, since it is smaller than the sum of its proper divisors (68357527120).

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

48175966640 is a wasteful number, since it uses less digits than its factorization.

48175966640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153130 (or 153124 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 48175966640 in words is "forty-eight billion, one hundred seventy-five million, nine hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 127 155 248 254 310 496 508 620 635 1016 1240 1270 2032 2480 2540 3937 5080 7874 10160 15748 19685 31496 39370 62992 78740 152959 157480 305918 314960 611836 764795 1223672 1529590 2447344 3059180 4741729 6118360 9483458 12236720 18966916 19425793 23708645 37933832 38851586 47417290 75867664 77703172 94834580 97128965 155406344 189669160 194257930 310812688 379338320 388515860 602199583 777031720 1204399166 1554063440 2408798332 3010997915 4817596664 6021995830 9635193328 12043991660 24087983320 48175966640