Search a number
-
+
34565036216 = 23377179109191
BaseRepresentation
bin100000001100001111…
…001001100010111000
310022012220012202210112
4200030033021202320
51031242122124331
623513504403452
72332360650224
oct401417114270
9108186182715
1034565036216
1113728075337
126847916588
13334b08cc69
14195c843784
15d747b232b
hex80c3c98b8

34565036216 has 128 divisors (see below), whose sum is σ = 69341184000. Its totient is φ = 16133644800.

The previous prime is 34565036197. The next prime is 34565036243. The reversal of 34565036216 is 61263056543.

It is a super-2 number, since 2×345650362162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180968681 + ... + 180968871.

It is an arithmetic number, because the mean of its divisors is an integer number (541728000).

Almost surely, 234565036216 is an apocalyptic number.

It is an amenable number.

34565036216 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

34565036216 is a wasteful number, since it uses less digits than its factorization.

34565036216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 34565036216 in words is "thirty-four billion, five hundred sixty-five million, thirty-six thousand, two hundred sixteen".

Divisors: 1 2 4 8 37 71 74 79 109 142 148 158 191 218 284 296 316 382 436 568 632 764 872 1528 2627 2923 4033 5254 5609 5846 7067 7739 8066 8611 10508 11218 11692 13561 14134 15089 15478 16132 17222 20819 21016 22436 23384 27122 28268 30178 30956 32264 34444 41638 44872 54244 56536 60356 61912 68888 83276 108488 120712 166552 207533 286343 318607 415066 501757 558293 572686 611381 637214 770303 830132 1003514 1071319 1116586 1145372 1222762 1274428 1478149 1540606 1644701 1660264 2007028 2142638 2233172 2290744 2445524 2548856 2956298 3081212 3289402 4014056 4285276 4466344 4891048 5912596 6162424 6578804 8570552 11825192 13157608 22621097 39638803 45242194 54691513 60853937 79277606 90484388 109383026 116773771 121707874 158555212 180968776 218766052 233547542 243415748 317110424 437532104 467095084 486831496 934190168 4320629527 8641259054 17282518108 34565036216