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137606746636 = 2217101211269353
BaseRepresentation
bin1000000000101000000…
…0000101001000001100
3111011012001101000022201
42000022000011020030
54223304311343021
6143114330051244
712641011022152
oct2001200051014
9434161330281
10137606746636
11533a446a4a7
1222804279b24
13cc8cac9148
1469358473d2
1538a5a7e591
hex200a00520c

137606746636 has 96 divisors (see below), whose sum is σ = 260419561920. Its totient is φ = 63393792000.

The previous prime is 137606746597. The next prime is 137606746639. The reversal of 137606746636 is 636647606731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137606746639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389820636 + ... + 389820988.

It is an arithmetic number, because the mean of its divisors is an integer number (2712703770).

Almost surely, 2137606746636 is an apocalyptic number.

It is an amenable number.

137606746636 is a deficient number, since it is larger than the sum of its proper divisors (122812815284).

137606746636 is a wasteful number, since it uses less digits than its factorization.

137606746636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 55.

The spelling of 137606746636 in words is "one hundred thirty-seven billion, six hundred six million, seven hundred forty-six thousand, six hundred thirty-six".

Divisors: 1 2 4 17 34 68 101 202 211 269 353 404 422 538 706 844 1076 1412 1717 3434 3587 4573 6001 6868 7174 9146 12002 14348 18292 21311 24004 27169 35653 42622 54338 56759 71306 74483 85244 94957 108676 113518 142612 148966 189914 227036 297932 362287 379828 461873 606101 724574 923746 964903 1212202 1266211 1449148 1614269 1847492 1929806 2424404 2532422 3228538 3859612 5064844 5732659 6457076 7522783 9590657 11465318 15045566 19181314 20035927 22930636 30091132 38362628 40071854 80143708 97455203 127887311 163041169 194910406 255774622 326082338 340610759 389820812 511549244 652164676 681221518 1362443036 2023628627 4047257254 8094514508 34401686659 68803373318 137606746636