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202145613616 = 241717912013457
BaseRepresentation
bin1011110001000011010…
…0010100011100110000
3201022202212122011001101
42330100310110130300
511302443234113431
6232510414014144
720414233236202
oct2742064243460
9638685564041
10202145613616
1178802a244a1
12332161a7354
13160a69baa2b
149ad9042772
1553d19eb961
hex2f10d14730

202145613616 has 80 divisors (see below), whose sum is σ = 417480467040. Its totient is φ = 94489804800.

The previous prime is 202145613613. The next prime is 202145613647. The reversal of 202145613616 is 616316541202.

It is not an unprimeable number, because it can be changed into a prime (202145613611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58472560 + ... + 58476016.

It is an arithmetic number, because the mean of its divisors is an integer number (5218505838).

Almost surely, 2202145613616 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 202145613616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208740233520).

202145613616 is an abundant number, since it is smaller than the sum of its proper divisors (215334853424).

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

202145613616 is a wasteful number, since it uses less digits than its factorization.

202145613616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 202145613616 in words is "two hundred two billion, one hundred forty-five million, six hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 179 272 358 716 1201 1432 2402 2864 3043 3457 4804 6086 6914 9608 12172 13828 19216 20417 24344 27656 40834 48688 55312 58769 81668 117538 163336 214979 235076 326672 429958 470152 618803 859916 940304 1237606 1719832 2475212 3439664 3654643 4151857 4950424 7309286 8303714 9900848 10519651 14618572 16607428 21039302 29237144 33214856 42078604 58474288 66429712 70581569 84157208 141163138 168314416 282326276 564652552 743182403 1129305104 1486364806 2972729612 5945459224 11890918448 12634100851 25268201702 50536403404 101072806808 202145613616