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96008629488 = 24337143937567
BaseRepresentation
bin101100101101010001…
…1110110110011110000
3100011211000011201020020
41121122203312303300
53033111202120423
6112034502043440
76636116612532
oct1313243666360
9304730151206
1096008629488
1137798406392
1216735119580
13909091cb45
14490ad15852
15276db1b4e3
hex165a8f6cf0

96008629488 has 80 divisors (see below), whose sum is σ = 254909399040. Its totient is φ = 31115467008.

The previous prime is 96008629487. The next prime is 96008629489. The reversal of 96008629488 is 88492680069.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96008629487) and next prime (96008629489).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96008629487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536881 + ... + 2574447.

It is an arithmetic number, because the mean of its divisors is an integer number (3186367488).

Almost surely, 296008629488 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 96008629488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127454699520).

96008629488 is an abundant number, since it is smaller than the sum of its proper divisors (158900769552).

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

96008629488 is a wasteful number, since it uses less digits than its factorization.

96008629488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39054 (or 39048 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 96008629488 in words is "ninety-six billion, eight million, six hundred twenty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1439 1776 2878 4317 5756 8634 11512 17268 23024 34536 37567 53243 69072 75134 106486 112701 150268 159729 212972 225402 300536 319458 425944 450804 601072 638916 851888 901608 1277832 1389979 1803216 2555664 2779958 4169937 5559916 8339874 11119832 16679748 22239664 33359496 54058913 66718992 108117826 162176739 216235652 324353478 432471304 648706956 864942608 1297413912 2000179781 2594827824 4000359562 6000539343 8000719124 12001078686 16001438248 24002157372 32002876496 48004314744 96008629488