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130605267816 = 233219521183247
BaseRepresentation
bin111100110100010101…
…1100011101101101000
3110111010002212000222100
41321220223203231220
54114434422032231
6135555500053400
712302343313362
oct1715053435550
9414102760870
10130605267816
11504312a5871
122138b534260
13c4153c607a
14646da23d32
1535e60721e6
hex1e68ae3b68

130605267816 has 96 divisors (see below), whose sum is σ = 373056278400. Its totient is φ = 41164381440.

The previous prime is 130605267809. The next prime is 130605267829. The reversal of 130605267816 is 618762506031.

130605267816 is a `hidden beast` number, since 1 + 3 + 0 + 605 + 26 + 7 + 8 + 16 = 666.

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, 621105 + ... + 804351.

It is an arithmetic number, because the mean of its divisors is an integer number (3886002900).

Almost surely, 2130605267816 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 130605267816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186528139200).

130605267816 is an abundant number, since it is smaller than the sum of its proper divisors (242451010584).

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

130605267816 is a wasteful number, since it uses less digits than its factorization.

130605267816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183799 (or 183792 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 130605267816 in words is "one hundred thirty billion, six hundred five million, two hundred sixty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 521 684 1042 1368 1563 2084 3126 4168 4689 6252 9378 9899 12504 18756 19798 29697 37512 39596 59394 79192 89091 118788 178182 183247 237576 356364 366494 549741 712728 732988 1099482 1465976 1649223 2198964 3298446 3481693 4397928 6596892 6963386 10445079 13193784 13926772 20890158 27853544 31335237 41780316 62670474 83560632 95471687 125340948 190943374 250681896 286415061 381886748 572830122 763773496 859245183 1145660244 1718490366 1813962053 2291320488 3436980732 3627924106 5441886159 6873961464 7255848212 10883772318 14511696424 16325658477 21767544636 32651316954 43535089272 65302633908 130605267816