Search a number
-
+
646530621768 = 233435916131723
BaseRepresentation
bin10010110100010000011…
…10100110000101001000
32021210210211102112220000
421122020032212011020
541043043314344033
61213002335003000
764465426416303
oct11321016460510
92253724375800
10646530621768
1122a212754409
12a5375969460
1348c769c28b5
1423413d07b3a
1511c3ed53a13
hex96883a6148

646530621768 has 160 divisors (see below), whose sum is σ = 1818109022400. Its totient is φ = 214652011392.

The previous prime is 646530621761. The next prime is 646530621787. The reversal of 646530621768 is 867126035646.

646530621768 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 3 + 0 + 621 + 7 + 6 + 8 = 666.

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 (646530621761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375234555 + ... + 375236277.

It is an arithmetic number, because the mean of its divisors is an integer number (11363181390).

Almost surely, 2646530621768 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 646530621768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909054511200).

646530621768 is an abundant number, since it is smaller than the sum of its proper divisors (1171578400632).

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

646530621768 is a wasteful number, since it uses less digits than its factorization.

646530621768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 646530621768 in words is "six hundred forty-six billion, five hundred thirty million, six hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 359 648 718 1077 1436 1613 1723 2154 2872 3226 3231 3446 4308 4839 5169 6452 6462 6892 8616 9678 9693 10338 12904 12924 13784 14517 15507 19356 19386 20676 25848 29034 29079 31014 38712 38772 41352 43551 46521 58068 58158 62028 77544 87102 93042 116136 116316 124056 130653 139563 174204 186084 232632 261306 279126 348408 372168 522612 558252 579067 618557 1045224 1116504 1158134 1237114 1737201 1855671 2316268 2474228 2779199 3474402 3711342 4632536 4948456 5211603 5558398 5567013 6948804 7422684 8337597 10423206 11116796 11134026 13897608 14845368 15634809 16675194 16701039 20846412 22233592 22268052 25012791 31269618 33350388 33402078 41692824 44536104 46904427 50025582 50103117 62539236 66700776 66804156 75038373 93808854 100051164 100206234 125078472 133608312 150076746 187617708 200102328 200412468 225115119 300153492 375235416 400824936 450230238 600306984 900460476 997732441 1800920952 1995464882 2993197323 3990929764 5986394646 7981859528 8979591969 11972789292 17959183938 23945578584 26938775907 35918367876 53877551814 71836735752 80816327721 107755103628 161632655442 215510207256 323265310884 646530621768