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5358091968 = 263229320767
BaseRepresentation
bin1001111110101110…
…11111111011000000
3111211102012021101200
410333113133323000
541433132420333
62243402301200
7246531013245
oct47727377300
914742167350
105358091968
1122aa559889
1210564b7800
136750b9028
1438b8775cc
152155dcc13
hex13f5dfec0

5358091968 has 84 divisors (see below), whose sum is σ = 15887639040. Its totient is φ = 1724438016.

The previous prime is 5358091967. The next prime is 5358091969. The reversal of 5358091968 is 8691908535.

It is a happy number.

5358091968 is a `hidden beast` number, since 53 + 580 + 9 + 1 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5358091967) and next prime (5358091969).

It is a super-2 number, since 2×53580919682 = 57418299075092226048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5358091967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143680 + ... + 177087.

It is an arithmetic number, because the mean of its divisors is an integer number (189138560).

Almost surely, 25358091968 is an apocalyptic number.

5358091968 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

5358091968 is an abundant number, since it is smaller than the sum of its proper divisors (10529547072).

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

5358091968 is a wasteful number, since it uses less digits than its factorization.

5358091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320814 (or 320801 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 5358091968 is about 73198.9888454752. The cubic root of 5358091968 is about 1749.8603391130.

The spelling of 5358091968 in words is "five billion, three hundred fifty-eight million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 320767 641534 962301 1283068 1924602 2566136 2886903 3849204 5132272 5773806 7698408 9302243 10264544 11547612 15396816 18604486 20529088 23095224 27906729 30793632 37208972 46190448 55813458 61587264 74417944 83720187 92380896 111626916 148835888 167440374 184761792 223253832 297671776 334880748 446507664 595343552 669761496 893015328 1339522992 1786030656 2679045984 5358091968