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48088723896 = 2333617946199
BaseRepresentation
bin101100110010010011…
…111011000110111000
311121010101102021201000
4230302103323012320
51241441203131041
634031444125000
73321453260133
oct546223730670
9147111367630
1048088723896
1119437916024
1293a0996760
1346c4abb815
14248296d21a
1513b6baabb6
hexb324fb1b8

48088723896 has 128 divisors (see below), whose sum is σ = 137491200000. Its totient is φ = 15566878080.

The previous prime is 48088723883. The next prime is 48088723897. The reversal of 48088723896 is 69832788084.

48088723896 is a `hidden beast` number, since 480 + 8 + 8 + 72 + 3 + 89 + 6 = 666.

It is a super-3 number, since 3×480887238963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48088723897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017805 + ... + 1064003.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150000).

Almost surely, 248088723896 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 48088723896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600000).

48088723896 is an abundant number, since it is smaller than the sum of its proper divisors (89402476104).

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

48088723896 is a wasteful number, since it uses less digits than its factorization.

48088723896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46354 (or 46344 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 48088723896 in words is "forty-eight billion, eighty-eight million, seven hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 79 108 122 158 183 216 237 244 316 366 474 488 549 632 711 732 948 1098 1422 1464 1647 1896 2133 2196 2844 3294 4266 4392 4819 5688 6588 8532 9638 13176 14457 17064 19276 28914 38552 43371 46199 57828 86742 92398 115656 130113 138597 173484 184796 260226 277194 346968 369592 415791 520452 554388 831582 1040904 1108776 1247373 1663164 2494746 2818139 3326328 3649721 4989492 5636278 7299442 8454417 9978984 10949163 11272556 14598884 16908834 21898326 22545112 25363251 29197768 32847489 33817668 43796652 50726502 65694978 67635336 76089753 87593304 98542467 101453004 131389956 152179506 197084934 202906008 222632981 262779912 304359012 394169868 445265962 608718024 667898943 788339736 890531924 1335797886 1781063848 2003696829 2671595772 4007393658 5343191544 6011090487 8014787316 12022180974 16029574632 24044361948 48088723896