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94234129248 = 2537467300277
BaseRepresentation
bin101011111000011001…
…0101011001101100000
3100000020100010202112010
41113300302223031200
53020442414113443
6111142432232520
76544131611460
oct1276062531540
9300210122463
1094234129248
1136a67789066
121631a99b740
138b6a0ba5bc
1447bd399ba0
1526b7e4d733
hex15f0cab360

94234129248 has 96 divisors (see below), whose sum is σ = 283308689664. Its totient is φ = 26866294272.

The previous prime is 94234129237. The next prime is 94234129271. The reversal of 94234129248 is 84292143249.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×942341292482 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 94234129197 and 94234129206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163686 + ... + 463962.

It is an arithmetic number, because the mean of its divisors is an integer number (2951132184).

Almost surely, 294234129248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94234129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141654344832).

94234129248 is an abundant number, since it is smaller than the sum of its proper divisors (189074560416).

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

94234129248 is a wasteful number, since it uses less digits than its factorization.

94234129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300764 (or 300756 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 94234129248 in words is "ninety-four billion, two hundred thirty-four million, one hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 467 672 934 1401 1868 2802 3269 3736 5604 6538 7472 9807 11208 13076 14944 19614 22416 26152 39228 44832 52304 78456 104608 156912 300277 313824 600554 900831 1201108 1801662 2101939 2402216 3603324 4203878 4804432 6305817 7206648 8407756 9608864 12611634 14413296 16815512 25223268 28826592 33631024 50446536 67262048 100893072 140229359 201786144 280458718 420688077 560917436 841376154 981605513 1121834872 1682752308 1963211026 2243669744 2944816539 3365504616 3926422052 4487339488 5889633078 6731009232 7852844104 11779266156 13462018464 15705688208 23558532312 31411376416 47117064624 94234129248