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61898654963904 = 26311178511641817
BaseRepresentation
bin11100001001011111001110…
…10101110101100011000000
322010011110020200200010000220
432010233213111311203000
531103121421132321104
6335351503255343040
716016013242023113
oct1604574725654300
9263143220603026
1061898654963904
11187a508803a310
126b3845a381a80
132870030a5a285
14113dca768057a
157251d570b7d9
hex384be75758c0

61898654963904 has 112 divisors (see below), whose sum is σ = 178672144169856. Its totient is φ = 18756105984000.

The previous prime is 61898654963903. The next prime is 61898654963983. The reversal of 61898654963904 is 40936945689816.

61898654963904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61898654963904.

It is not an unprimeable number, because it can be changed into a prime (61898654963903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36880404 + ... + 38522220.

Almost surely, 261898654963904 is an apocalyptic number.

61898654963904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61898654963904 is an abundant number, since it is smaller than the sum of its proper divisors (116773489205952).

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

61898654963904 is a wasteful number, since it uses less digits than its factorization.

61898654963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659694 (or 1659684 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 78.

The spelling of 61898654963904 in words is "sixty-one trillion, eight hundred ninety-eight billion, six hundred fifty-four million, nine hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 17851 35702 53553 71404 107106 142808 196361 214212 285616 392722 428424 571232 589083 785444 856848 1142464 1178166 1570888 1641817 1713696 2356332 3141776 3283634 3427392 4712664 4925451 6283552 6567268 9425328 9850902 12567104 13134536 18059987 18850656 19701804 26269072 36119974 37701312 39403608 52538144 54179961 72239948 78807216 105076288 108359922 144479896 157614432 216719844 288959792 315228864 433439688 577919584 866879376 1155839168 1733758752 3467517504 29308075267 58616150534 87924225801 117232301068 175848451602 234464602136 322388827937 351696903204 468929204272 644777655874 703393806408 937858408544 967166483811 1289555311748 1406787612816 1875716817088 1934332967622 2579110623496 2813575225632 3868665935244 5158221246992 5627150451264 7737331870488 10316442493984 15474663740976 20632884987968 30949327481952 61898654963904