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9135125216 = 257192173653
BaseRepresentation
bin10001000000111111…
…01111001011100000
3212120122100102221222
420200133233023200
5122202043001331
64110245234212
7442243166060
oct104037571340
925518312858
109135125216
1139685a3868
12192b402968
13b27771849
1462934b3a0
15386ebdb7b
hex2207ef2e0

9135125216 has 144 divisors (see below), whose sum is σ = 21851563104. Its totient is φ = 3681911808.

The previous prime is 9135125203. The next prime is 9135125231. The reversal of 9135125216 is 6125215319.

It is a congruent number.

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, 13989146 + ... + 13989798.

It is an arithmetic number, because the mean of its divisors is an integer number (151746966).

Almost surely, 29135125216 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 9135125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925781552).

9135125216 is an abundant number, since it is smaller than the sum of its proper divisors (12716437888).

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

9135125216 is a wasteful number, since it uses less digits than its factorization.

9135125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 854 counting only the distinct ones).

The product of its digits is 16200, while the sum is 35.

The square root of 9135125216 is about 95577.8489818640. The cubic root of 9135125216 is about 2090.4422204741.

The spelling of 9135125216 in words is "nine billion, one hundred thirty-five million, one hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 173 224 266 304 346 361 532 608 653 692 722 1064 1211 1306 1384 1444 2128 2422 2527 2612 2768 2888 3287 4256 4571 4844 5054 5224 5536 5776 6574 9142 9688 10108 10448 11552 12407 13148 18284 19376 20216 20896 23009 24814 26296 36568 38752 40432 46018 49628 52592 62453 73136 80864 86849 92036 99256 105184 112969 124906 146272 173698 184072 198512 225938 235733 249812 347396 368144 397024 437171 451876 471466 499624 694792 736288 790783 874342 903752 942932 999248 1389584 1581566 1650131 1748684 1807504 1885864 1998496 2146411 2779168 3163132 3300262 3497368 3615008 3771728 4292822 6326264 6600524 6994736 7543456 8585644 12652528 13201048 13989472 15024877 17171288 25305056 26402096 30049754 34342576 40781809 52804192 60099508 68685152 81563618 120199016 163127236 240398032 285472663 326254472 480796064 570945326 652508944 1141890652 1305017888 2283781304 4567562608 9135125216