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2113415948 = 2272931113743
BaseRepresentation
bin111110111111000…
…0010101100001100
312110021202122122202
41331332002230030
513312013302243
6545413501032
7103241511350
oct17576025414
95407678582
102113415948
11994a71756
124ab941778
13278b074a7
1416097d460
15c58174b8
hex7df82b0c

2113415948 has 96 divisors (see below), whose sum is σ = 4559708160. Its totient is φ = 837688320.

The previous prime is 2113415873. The next prime is 2113415951. The reversal of 2113415948 is 8495143112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2844065 + ... + 2844807.

It is an arithmetic number, because the mean of its divisors is an integer number (47496960).

Almost surely, 22113415948 is an apocalyptic number.

2113415948 is a gapful number since it is divisible by the number (28) 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 2113415948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279854080).

2113415948 is an abundant number, since it is smaller than the sum of its proper divisors (2446292212).

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

2113415948 is a wasteful number, since it uses less digits than its factorization.

2113415948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 925 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 2113415948 is about 45971.9038979244. The cubic root of 2113415948 is about 1283.3003915459.

The spelling of 2113415948 in words is "two billion, one hundred thirteen million, four hundred fifteen thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 31 58 62 113 116 124 203 217 226 406 434 452 743 791 812 868 899 1486 1582 1798 2972 3164 3277 3503 3596 5201 6293 6554 7006 10402 12586 13108 14012 20804 21547 22939 23033 24521 25172 43094 45878 46066 49042 83959 86188 91756 92132 98084 101587 150829 161231 167918 203174 301658 322462 335836 406348 587713 603316 644924 667957 711109 1175426 1335914 1422218 2350852 2434811 2602729 2671828 2844436 4675699 4869622 5205458 9351398 9739244 10410916 17043677 18219103 18702796 34087354 36438206 68174708 72876412 75479141 150958282 301916564 528353987 1056707974 2113415948