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2138274744 = 2331920632273
BaseRepresentation
bin111111101110011…
…0111101110111000
312112000112121111220
41333130313232320
513334344242434
6552102352040
7103663015104
oct17734675670
95460477456
102138274744
119a8000511
124b812b620
13280ccc338
14163db0904
15c7ac7d49
hex7f737bb8

2138274744 has 64 divisors (see below), whose sum is σ = 5632243200. Its totient is φ = 674620416.

The previous prime is 2138274727. The next prime is 2138274757. The reversal of 2138274744 is 4474728312.

It is a junction number, because it is equal to n+sod(n) for n = 2138274696 and 2138274705.

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, 939592 + ... + 941864.

It is an arithmetic number, because the mean of its divisors is an integer number (88003800).

Almost surely, 22138274744 is an apocalyptic number.

2138274744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2138274744 is an abundant number, since it is smaller than the sum of its proper divisors (3493968456).

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

2138274744 is a wasteful number, since it uses less digits than its factorization.

2138274744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364 (or 4360 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 2138274744 is about 46241.4829346984. The cubic root of 2138274744 is about 1288.3123462871.

The spelling of 2138274744 in words is "two billion, one hundred thirty-eight million, two hundred seventy-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 2063 2273 4126 4546 6189 6819 8252 9092 12378 13638 16504 18184 24756 27276 39197 43187 49512 54552 78394 86374 117591 129561 156788 172748 235182 259122 313576 345496 470364 518244 940728 1036488 4689199 9378398 14067597 18756796 28135194 37513592 56270388 89094781 112540776 178189562 267284343 356379124 534568686 712758248 1069137372 2138274744