Search a number
-
+
96738986496 = 293431937589
BaseRepresentation
bin101101000011000010…
…1111100101000000000
3100020200220110200200210
41122012011330220000
53041110140031441
6112235152114120
76663165550335
oct1320605745000
9306626420623
1096738986496
11380326aa419
12168b9835940
13917902a859
144979d1298c
1527b2cd8616
hex168617ca00

96738986496 has 160 divisors (see below), whose sum is σ = 265113478080. Its totient is φ = 31329091584.

The previous prime is 96738986473. The next prime is 96738986497. The reversal of 96738986496 is 69468983769.

It is not an unprimeable number, because it can be changed into a prime (96738986497) 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, 12743470 + ... + 12751058.

It is an arithmetic number, because the mean of its divisors is an integer number (1656959238).

Almost surely, 296738986496 is an apocalyptic number.

96738986496 is a gapful number since it is divisible by the number (96) 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 96738986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132556739040).

96738986496 is an abundant number, since it is smaller than the sum of its proper divisors (168374491584).

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

96738986496 is a wasteful number, since it uses less digits than its factorization.

96738986496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7830 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 75.

The spelling of 96738986496 in words is "ninety-six billion, seven hundred thirty-eight million, nine hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 193 256 258 344 384 386 512 516 579 688 768 772 1032 1158 1376 1536 1544 2064 2316 2752 3088 4128 4632 5504 6176 7589 8256 8299 9264 11008 12352 15178 16512 16598 18528 22016 22767 24704 24897 30356 33024 33196 37056 45534 49408 49794 60712 66048 66392 74112 91068 98816 99588 121424 132784 148224 182136 199176 242848 265568 296448 326327 364272 398352 485696 531136 652654 728544 796704 971392 978981 1062272 1305308 1457088 1464677 1593408 1942784 1957962 2124544 2610616 2914176 2929354 3186816 3885568 3915924 4249088 4394031 5221232 5828352 5858708 6373632 7831848 8788062 10442464 11656704 11717416 12747264 15663696 17576124 20884928 23434832 31327392 35152248 41769856 46869664 62654784 62981111 70304496 83539712 93739328 125309568 125962222 140608992 167079424 187478656 188943333 250619136 251924444 281217984 374957312 377886666 501238272 503848888 562435968 749914624 755773332 1007697776 1124871936 1511546664 2015395552 2249743872 3023093328 4030791104 6046186656 8061582208 12092373312 16123164416 24184746624 32246328832 48369493248 96738986496