Search a number
-
+
12395096496 = 243337839343
BaseRepresentation
bin10111000101100111…
…00010100110110000
31011222211120010212000
423202303202212300
5200341121041441
65405541534000
7616106403366
oct134263424660
934884503760
1012395096496
115290788502
12249b114300
131226c7a233
148582a7636
154c82b62b6
hex2e2ce29b0

12395096496 has 160 divisors (see below), whose sum is σ = 36984299520. Its totient is φ = 3971172096.

The previous prime is 12395096489. The next prime is 12395096521. The reversal of 12395096496 is 69469059321.

12395096496 is a `hidden beast` number, since 12 + 3 + 9 + 50 + 96 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322001 + ... + 1331343.

It is an arithmetic number, because the mean of its divisors is an integer number (231151872).

Almost surely, 212395096496 is an apocalyptic number.

12395096496 is a gapful number since it is divisible by the number (16) 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 12395096496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492149760).

12395096496 is an abundant number, since it is smaller than the sum of its proper divisors (24589203024).

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

12395096496 is a wasteful number, since it uses less digits than its factorization.

12395096496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9480 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 12395096496 in words is "twelve billion, three hundred ninety-five million, ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 83 108 111 144 148 166 216 222 249 296 332 333 432 444 498 592 664 666 747 888 996 999 1328 1332 1494 1776 1992 1998 2241 2664 2988 3071 3984 3996 4482 5328 5976 6142 7992 8964 9213 9343 11952 12284 15984 17928 18426 18686 24568 27639 28029 35856 36852 37372 49136 55278 56058 73704 74744 82917 84087 110556 112116 147408 149488 165834 168174 221112 224232 252261 331668 336348 345691 442224 448464 504522 663336 672696 691382 775469 1009044 1037073 1326672 1345392 1382764 1550938 2018088 2074146 2326407 2765528 3101876 3111219 4036176 4148292 4652814 5531056 6203752 6222438 6979221 8296584 9305628 9333657 12407504 12444876 13958442 16593168 18611256 18667314 20937663 24889752 27916884 28692353 37222512 37334628 41875326 49779504 55833768 57384706 74669256 83750652 86077059 111667536 114769412 149338512 167501304 172154118 229538824 258231177 335002608 344308236 459077648 516462354 688616472 774693531 1032924708 1377232944 1549387062 2065849416 3098774124 4131698832 6197548248 12395096496