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32116092923136 = 283831393624671
BaseRepresentation
bin1110100110101100111000…
…10011110110110100000000
311012201021020201212011002010
413103112130103312310000
513202142224242020021
6152145532430252520
76523211502432105
oct723263423666400
9135637221764063
1032116092923136
11a2623a4210312
123728392657140
1314bc6c45a2881
147d05da2daaac
153aa62ec3e976
hex1d359c4f6d00

32116092923136 has 144 divisors (see below), whose sum is σ = 87127835719680. Its totient is φ = 10500292024320.

The previous prime is 32116092923107. The next prime is 32116092923147. The reversal of 32116092923136 is 63132929061123.

It is a super-2 number, since 2×321160929231362 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7048081 + ... + 10672751.

It is an arithmetic number, because the mean of its divisors is an integer number (605054414720).

Almost surely, 232116092923136 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 32116092923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43563917859840).

32116092923136 is an abundant number, since it is smaller than the sum of its proper divisors (55011742796544).

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

32116092923136 is a wasteful number, since it uses less digits than its factorization.

32116092923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624912 (or 3624898 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 32116092923136 in words is "thirty-two trillion, one hundred sixteen billion, ninety-two million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 139 166 192 249 256 278 332 384 417 498 556 664 768 834 996 1112 1328 1668 1992 2224 2656 3336 3984 4448 5312 6672 7968 8896 10624 11537 13344 15936 17792 21248 23074 26688 31872 34611 35584 46148 53376 63744 69222 92296 106752 138444 184592 276888 369184 553776 738368 1107552 1476736 2215104 2953472 3624671 4430208 7249342 8860416 10874013 14498684 21748026 28997368 43496052 57994736 86992104 115989472 173984208 231978944 300847693 347968416 463957888 503829269 601695386 695936832 902543079 927915776 1007658538 1203390772 1391873664 1511487807 1805086158 2015317076 2406781544 2783747328 3022975614 3610172316 4030634152 4813563088 6045951228 7220344632 8061268304 9627126176 12091902456 14440689264 16122536608 19254252352 24183804912 28881378528 32245073216 38508504704 41817829327 48367609824 57762757056 64490146432 77017009408 83635658654 96735219648 115525514112 125453487981 128980292864 167271317308 193470439296 231051028224 250906975962 334542634616 386940878592 501813951924 669085269232 1003627903848 1338170538464 2007255807696 2676341076928 4014511615392 5352682153856 8029023230784 10705364307712 16058046461568 32116092923136