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4122291954 = 231117312713
BaseRepresentation
bin1111010110110101…
…0010111011110010
3101122021211010110210
43311231102323302
531420301320304
61521015004550
7204103621614
oct36555227362
911567733423
104122291954
111825a20a60
12970669756
1350906b911
142b16a8db4
15191d7ec89
hexf5b52ef2

4122291954 has 64 divisors (see below), whose sum is σ = 9556859520. Its totient is φ = 1175605760.

The previous prime is 4122291949. The next prime is 4122291959. The reversal of 4122291954 is 4591922214.

It is an interprime number because it is at equal distance from previous prime (4122291949) and next prime (4122291959).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4122291959) 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, 317902 + ... + 330614.

It is an arithmetic number, because the mean of its divisors is an integer number (149325930).

Almost surely, 24122291954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122291954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778429760).

4122291954 is an abundant number, since it is smaller than the sum of its proper divisors (5434567566).

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

4122291954 is a wasteful number, since it uses less digits than its factorization.

4122291954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12780 (or 12746 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 4122291954 is about 64205.0773225919. The cubic root of 4122291954 is about 1603.4161325933.

The spelling of 4122291954 in words is "four billion, one hundred twenty-two million, two hundred ninety-one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1734 3179 4913 6358 9537 9826 12713 14739 19074 25426 29478 38139 54043 76278 108086 139843 162129 216121 279686 324258 419529 432242 648363 839058 1296726 2377331 3674057 4754662 7131993 7348114 11022171 14263986 22044342 40414627 62458969 80829254 121243881 124917938 187376907 242487762 374753814 687048659 1374097318 2061145977 4122291954