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125510048048 = 24721143133767
BaseRepresentation
bin111010011100011111…
…0110101100100110000
3102222222000022001110002
41310320332311210300
54024021033014143
6133354123525132
712032153543300
oct1647076654460
9388860261402
10125510048048
1149257171840
12203a90897a8
13bab2908728
146109057600
1533e8aac5b8
hex1d38fb5930

125510048048 has 120 divisors (see below), whose sum is σ = 309319202304. Its totient is φ = 48785116800.

The previous prime is 125510048023. The next prime is 125510048093. The reversal of 125510048048 is 840840015521.

It is a super-2 number, since 2×1255100480482 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700061 + ... + 3733827.

Almost surely, 2125510048048 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 125510048048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154659601152).

125510048048 is an abundant number, since it is smaller than the sum of its proper divisors (183809154256).

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

125510048048 is a wasteful number, since it uses less digits than its factorization.

125510048048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34231 (or 34218 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The spelling of 125510048048 in words is "one hundred twenty-five billion, five hundred ten million, forty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 431 539 616 784 862 1078 1232 1724 2156 3017 3448 4312 4741 6034 6896 8624 9482 12068 18964 21119 24136 33187 33767 37928 42238 48272 66374 67534 75856 84476 132748 135068 168952 232309 236369 265496 270136 337904 371437 464618 472738 530992 540272 742874 929236 945476 1485748 1654583 1858472 1890952 2600059 2971496 3309166 3716944 3781904 5200118 5942992 6618332 10400236 13236664 14553577 18200413 20800472 26473328 29107154 36400826 41600944 58214308 72801652 101875039 116428616 145603304 160089347 203750078 232857232 291206608 320178694 407500156 640357388 713125273 815000312 1120625429 1280714776 1426250546 1630000624 2241250858 2561429552 2852501092 4482501716 5705002184 7844378003 8965003432 11410004368 15688756006 17930006864 31377512012 62755024024 125510048048