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34492113216 = 2632115443831
BaseRepresentation
bin100000000111111000…
…111110000101000000
310022000210222220020200
4200013320332011000
51031114440110331
623502341405200
72330514060561
oct400770760500
9108023886220
1034492113216
111369a9981a0
126827409800
133338c39b62
141952ca0168
15d6d1aa5e6
hex807e3e140

34492113216 has 84 divisors (see below), whose sum is σ = 107853199584. Its totient is φ = 10452153600.

The previous prime is 34492113199. The next prime is 34492113223. The reversal of 34492113216 is 61231129443.

34492113216 is a `hidden beast` number, since 34 + 492 + 1 + 132 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2715580 + ... + 2728251.

Almost surely, 234492113216 is an apocalyptic number.

34492113216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34492113216 is an abundant number, since it is smaller than the sum of its proper divisors (73361086368).

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

34492113216 is a wasteful number, since it uses less digits than its factorization.

34492113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443860 (or 5443847 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 34492113216 in words is "thirty-four billion, four hundred ninety-two million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 5443831 10887662 16331493 21775324 32662986 43550648 48994479 59882141 65325972 87101296 97988958 119764282 130651944 174202592 179646423 195977916 239528564 261303888 348405184 359292846 391955832 479057128 522607776 538939269 718585692 783911664 958114256 1045215552 1077878538 1437171384 1567823328 1916228512 2155757076 2874342768 3135646656 3832457024 4311514152 5748685536 8623028304 11497371072 17246056608 34492113216