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4135022472 = 2337171738369
BaseRepresentation
bin1111011001110111…
…0110111110001000
3101200011202220110110
43312131312332020
531432031204342
61522151514320
7204320053050
oct36635667610
911604686413
104135022472
111832126649
129749889a0
1350b8a8279
142b3260560
15193046c9c
hexf6776f88

4135022472 has 128 divisors (see below), whose sum is σ = 12583123200. Its totient is φ = 1105379328.

The previous prime is 4135022471. The next prime is 4135022477. The reversal of 4135022472 is 2742205314.

It is not an unprimeable number, because it can be changed into a prime (4135022471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489904 + ... + 498272.

It is an arithmetic number, because the mean of its divisors is an integer number (98305650).

Almost surely, 24135022472 is an apocalyptic number.

4135022472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135022472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6291561600).

4135022472 is an abundant number, since it is smaller than the sum of its proper divisors (8448100728).

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

4135022472 is a wasteful number, since it uses less digits than its factorization.

4135022472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8575 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4135022472 is about 64304.1403954675. The cubic root of 4135022472 is about 1605.0650002305.

Adding to 4135022472 its reverse (2742205314), we get a palindrome (6877227786).

The spelling of 4135022472 in words is "four billion, one hundred thirty-five million, twenty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 173 204 238 346 357 408 476 519 692 714 952 1038 1211 1384 1428 2076 2422 2856 2941 3633 4152 4844 5882 7266 8369 8823 9688 11764 14532 16738 17646 20587 23528 25107 29064 33476 35292 41174 50214 58583 61761 66952 70584 82348 100428 117166 123522 142273 164696 175749 200856 234332 247044 284546 351498 426819 468664 494088 569092 702996 853638 995911 1138184 1405992 1447837 1707276 1991822 2895674 2987733 3414552 3983644 4343511 5791348 5975466 7967288 8687022 10134859 11582696 11950932 17374044 20269718 23901864 24613229 30404577 34748088 40539436 49226458 60809154 73839687 81078872 98452916 121618308 147679374 172292603 196905832 243236616 295358748 344585206 516877809 590717496 689170412 1033755618 1378340824 2067511236 4135022472