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48901610052 = 223231191383599
BaseRepresentation
bin101101100010110000…
…110101101001000100
311200020001000011212200
4231202300311221010
51300122303010202
634244243114500
73350553553461
oct554260655104
9150201004780
1048901610052
1119814758469
129589072a30
1347c4333b49
14251c8d0668
15141322ae1c
hexb62c35a44

48901610052 has 144 divisors (see below), whose sum is σ = 128817561600. Its totient is φ = 15625022400.

The previous prime is 48901610047. The next prime is 48901610063. The reversal of 48901610052 is 25001610984.

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

It is a junction number, because it is equal to n+sod(n) for n = 48901609989 and 48901610016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81638449 + ... + 81639047.

It is an arithmetic number, because the mean of its divisors is an integer number (894566400).

Almost surely, 248901610052 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 48901610052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64408780800).

48901610052 is an abundant number, since it is smaller than the sum of its proper divisors (79915951548).

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

48901610052 is a wasteful number, since it uses less digits than its factorization.

48901610052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 48901610052 in words is "forty-eight billion, nine hundred one million, six hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 191 279 372 382 383 558 573 599 764 766 1116 1146 1149 1198 1532 1719 1797 2292 2298 2396 3438 3447 3594 4596 5391 5921 6876 6894 7188 10782 11842 11873 13788 17763 18569 21564 23684 23746 35526 35619 37138 47492 53289 55707 71052 71238 73153 74276 106578 106857 111414 114409 142476 146306 167121 213156 213714 219459 222828 228818 229417 292612 334242 343227 427428 438918 457636 458834 658377 668484 686454 688251 877836 917668 1029681 1316754 1372908 1376502 2059362 2064753 2267743 2633508 2753004 3546679 4118724 4129506 4535486 6803229 7093358 7111927 8259012 9070972 10640037 13606458 14186716 14223854 20409687 21280074 21335781 27212916 28447708 31920111 40819374 42560148 42671562 43818647 63840222 64007343 81638748 85343124 87637294 127680444 128014686 131455941 175274588 256029372 262911882 394367823 525823764 788735646 1358378057 1577471292 2716756114 4075134171 5433512228 8150268342 12225402513 16300536684 24450805026 48901610052