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58773771968 = 2617293160089
BaseRepresentation
bin110110101111001100…
…001001011011000000
312121201001012222010012
4312233030021123000
51430332041200333
643000021524052
74150316550602
oct665714113300
9177631188105
1058773771968
1122a2029786a
12b483273628
1357086b1882
142bb7a97172
1517dec85e48
hexdaf3096c0

58773771968 has 112 divisors (see below), whose sum is σ = 131871110400. Its totient is φ = 25842647040.

The previous prime is 58773771941. The next prime is 58773771977. The reversal of 58773771968 is 86917737785.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 58773771898 and 58773771907.

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 15 ways as a sum of consecutive naturals, for example, 948068 + ... + 1008156.

Almost surely, 258773771968 is an apocalyptic number.

58773771968 is a gapful number since it is divisible by the number (58) 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 58773771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65935555200).

58773771968 is an abundant number, since it is smaller than the sum of its proper divisors (73097338432).

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

58773771968 is a wasteful number, since it uses less digits than its factorization.

58773771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60178 (or 60168 counting only the distinct ones).

The product of its digits is 124467840, while the sum is 68.

The spelling of 58773771968 in words is "fifty-eight billion, seven hundred seventy-three million, seven hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 64 68 116 124 136 232 248 272 464 493 496 527 544 899 928 986 992 1054 1088 1798 1856 1972 1984 2108 3596 3944 4216 7192 7888 8432 14384 15283 15776 16864 28768 30566 31552 33728 57536 60089 61132 120178 122264 240356 244528 480712 489056 961424 978112 1021513 1742581 1862759 1922848 2043026 3485162 3725518 3845696 4086052 6970324 7451036 8172104 13940648 14902072 16344208 27881296 29623877 29804144 31666903 32688416 54020011 55762592 59247754 59608288 63333806 65376832 108040022 111525184 118495508 119216576 126667612 216080044 236991016 253335224 432160088 473982032 506670448 864320176 918340187 947964064 1013340896 1728640352 1836680374 1895928128 2026681792 3457280704 3673360748 7346721496 14693442992 29386885984 58773771968