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48208053312 = 263411038431
BaseRepresentation
bin101100111001011011…
…001000010001000000
311121102200221211220000
4230321123020101000
51242212230201222
634051345520000
73324432456246
oct547133102100
9147380854800
1048208053312
1119499209a81
129414943000
13471373c443
142494752796
1513c23cc9ac
hexb396c8440

48208053312 has 140 divisors (see below), whose sum is σ = 143050296576. Its totient is φ = 16052878080.

The previous prime is 48208053307. The next prime is 48208053319. The reversal of 48208053312 is 21335080284.

48208053312 is a `hidden beast` number, since 48 + 2 + 0 + 80 + 533 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48208053319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5713737 + ... + 5722167.

Almost surely, 248208053312 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 48208053312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71525148288).

48208053312 is an abundant number, since it is smaller than the sum of its proper divisors (94842243264).

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

48208053312 is a wasteful number, since it uses less digits than its factorization.

48208053312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9539 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 48208053312 in words is "forty-eight billion, two hundred eight million, fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1103 1296 1728 2206 2592 3309 4412 5184 6618 8431 8824 9927 13236 16862 17648 19854 25293 26472 29781 33724 35296 39708 50586 52944 59562 67448 70592 75879 79416 89343 101172 105888 119124 134896 151758 158832 178686 202344 211776 227637 238248 269792 303516 317664 357372 404688 455274 476496 539584 607032 635328 682911 714744 809376 910548 952992 1214064 1365822 1429488 1618752 1821096 1905984 2428128 2731644 2858976 3642192 4856256 5463288 5717952 7284384 9299393 10926576 14568768 18598786 21853152 27898179 37197572 43706304 55796358 74395144 83694537 111592716 148790288 167389074 223185432 251083611 297580576 334778148 446370864 502167222 595161152 669556296 753250833 892741728 1004334444 1339112592 1506501666 1785483456 2008668888 2678225184 3013003332 4017337776 5356450368 6026006664 8034675552 12052013328 16069351104 24104026656 48208053312