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130851994752 = 2733233162499
BaseRepresentation
bin111100111011101100…
…0101111110010000000
3110111202022010001201000
41321313120233302000
54120441102313002
6140040152212000
712311430414033
oct1716730576200
9414668101630
10130851994752
11505485a3426
122143a09a000
13c454560a3b
1464946cb01a
15360ca5b61c
hex1e7762fc80

130851994752 has 128 divisors (see below), whose sum is σ = 387855000000. Its totient is φ = 43429865472.

The previous prime is 130851994681. The next prime is 130851994753. The reversal of 130851994752 is 257499158031.

It is a happy number.

130851994752 is a `hidden beast` number, since 1 + 3 + 0 + 85 + 1 + 99 + 475 + 2 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (130851994753) 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, 723999 + ... + 886497.

Almost surely, 2130851994752 is an apocalyptic number.

130851994752 is a gapful number since it is divisible by the number (12) 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 130851994752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193927500000).

130851994752 is an abundant number, since it is smaller than the sum of its proper divisors (257003005248).

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

130851994752 is a wasteful number, since it uses less digits than its factorization.

130851994752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162755 (or 162737 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 130851994752 in words is "one hundred thirty billion, eight hundred fifty-one million, nine hundred ninety-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 288 384 432 466 576 699 864 932 1152 1398 1728 1864 2097 2796 3456 3728 4194 5592 6291 7456 8388 11184 12582 14912 16776 22368 25164 29824 33552 44736 50328 67104 89472 100656 134208 162499 201312 268416 324998 402624 487497 649996 805248 974994 1299992 1462491 1949988 2599984 2924982 3899976 4387473 5199968 5849964 7799952 8774946 10399936 11699928 15599904 17549892 20799872 23399856 31199808 35099784 37862267 46799712 62399616 70199568 75724534 93599424 113586801 140399136 151449068 187198848 227173602 280798272 302898136 340760403 454347204 561596544 605796272 681520806 908694408 1022281209 1211592544 1363041612 1817388816 2044562418 2423185088 2726083224 3634777632 4089124836 4846370176 5452166448 7269555264 8178249672 10904332896 14539110528 16356499344 21808665792 32712998688 43617331584 65425997376 130851994752