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48131498160 = 2433524192461
BaseRepresentation
bin101100110100110111…
…000110000010110000
311121020100220102222000
4230310313012002300
51242033130420120
634040013014000
73322512661344
oct546467060260
9147210812860
1048131498160
1119459a80a59
1293b3184300
134700917035
142488505624
1513ba809990
hexb34dc60b0

48131498160 has 160 divisors (see below), whose sum is σ = 166475981760. Its totient is φ = 12781670400.

The previous prime is 48131498153. The next prime is 48131498167. The reversal of 48131498160 is 6189413184.

48131498160 is a `hidden beast` number, since 481 + 3 + 1 + 4 + 9 + 8 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (48131498153) and next prime (48131498167).

It is a super-2 number, since 2×481314981602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48131498167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474330 + ... + 566790.

It is an arithmetic number, because the mean of its divisors is an integer number (1040474886).

Almost surely, 248131498160 is an apocalyptic number.

48131498160 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 48131498160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83237990880).

48131498160 is an abundant number, since it is smaller than the sum of its proper divisors (118344483600).

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

48131498160 is a wasteful number, since it uses less digits than its factorization.

48131498160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92724 (or 92712 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 48131498160 in words is "forty-eight billion, one hundred thirty-one million, four hundred ninety-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 241 270 360 432 482 540 720 723 964 1080 1205 1446 1928 2160 2169 2410 2892 3615 3856 4338 4820 5784 6507 7230 8676 9640 10845 11568 13014 14460 17352 19280 21690 26028 28920 32535 34704 43380 52056 57840 65070 86760 92461 104112 130140 173520 184922 260280 277383 369844 462305 520560 554766 739688 832149 924610 1109532 1386915 1479376 1664298 1849220 2219064 2496447 2773830 3328596 3698440 4160745 4438128 4992894 5547660 6657192 7396880 8321490 9985788 11095320 12482235 13314384 16642980 19971576 22190640 22283101 24964470 33285960 39943152 44566202 49928940 66571920 66849303 89132404 99857880 111415505 133698606 178264808 199715760 200547909 222831010 267397212 334246515 356529616 401095818 445662020 534794424 601643727 668493030 802191636 891324040 1002739545 1069588848 1203287454 1336986060 1604383272 1782648080 2005479090 2406574908 2673972120 3008218635 3208766544 4010958180 4813149816 5347944240 6016437270 8021916360 9626299632 12032874540 16043832720 24065749080 48131498160