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253051986048 = 27317131929389
BaseRepresentation
bin1110101110101100010…
…0101110000010000000
3220012011121221210220120
43223223010232002000
513121222302023143
6312130034140240
724165602251161
oct3535304560200
9805147853816
10253051986048
1198356281574
1241062721680
131ab2a4757b4
14c367cab768
1568b0c2b383
hex3aeb12e080

253051986048 has 128 divisors (see below), whose sum is σ = 712272528000. Its totient is φ = 79325970432.

The previous prime is 253051986041. The next prime is 253051986059. The reversal of 253051986048 is 840689150352.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (253051986041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8595738 + ... + 8625126.

It is an arithmetic number, because the mean of its divisors is an integer number (5564629125).

Almost surely, 2253051986048 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 253051986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356136264000).

253051986048 is an abundant number, since it is smaller than the sum of its proper divisors (459220541952).

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

253051986048 is a wasteful number, since it uses less digits than its factorization.

253051986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30742 (or 30730 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 253051986048 in words is "two hundred fifty-three billion, fifty-one million, nine hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1319 1632 2176 2638 3264 3957 5276 6528 7914 10552 15828 21104 22423 29389 31656 42208 44846 58778 63312 67269 84416 88167 89692 117556 126624 134538 168832 176334 179384 235112 253248 269076 352668 358768 470224 499613 506496 538152 705336 717536 940448 999226 1076304 1410672 1435072 1498839 1880896 1998452 2152608 2821344 2870144 2997678 3761792 3996904 4305216 5642688 5995356 7993808 8610432 11285376 11990712 15987616 23981424 31975232 38764091 47962848 63950464 77528182 95925696 116292273 155056364 191851392 232584546 310112728 465169092 620225456 658989547 930338184 1240450912 1317979094 1860676368 1976968641 2480901824 2635958188 3721352736 3953937282 4961803648 5271916376 7442705472 7907874564 10543832752 14885410944 15815749128 21087665504 31631498256 42175331008 63262996512 84350662016 126525993024 253051986048