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11160837408 = 253726193833
BaseRepresentation
bin10100110010011110…
…01101110100100000
31001210211002021200110
422121033031310200
5140324133244113
65043251251320
7543401360400
oct123117156440
931724067613
1011160837408
114808002376
1221b58a9b40
13108b34c306
1477c3ba800
15454c5ebc3
hex2993cdd20

11160837408 has 144 divisors (see below), whose sum is σ = 34144377120. Its totient is φ = 3182828544.

The previous prime is 11160837397. The next prime is 11160837419. The reversal of 11160837408 is 80473806111.

It is an interprime number because it is at equal distance from previous prime (11160837397) and next prime (11160837419).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2909860 + ... + 2913692.

It is an arithmetic number, because the mean of its divisors is an integer number (237113730).

Almost surely, 211160837408 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 11160837408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17072188560).

11160837408 is an abundant number, since it is smaller than the sum of its proper divisors (22983539712).

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

11160837408 is a wasteful number, since it uses less digits than its factorization.

11160837408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 11160837408 in words is "eleven billion, one hundred sixty million, eight hundred thirty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 619 672 784 1176 1238 1568 1857 2352 2476 3714 3833 4333 4704 4952 7428 7666 8666 9904 11499 12999 14856 15332 17332 19808 22998 25998 26831 29712 30331 30664 34664 45996 51996 53662 59424 60662 61328 69328 80493 90993 91992 103992 107324 121324 122656 138656 160986 181986 183984 187817 207984 214648 242648 321972 363972 367968 375634 415968 429296 485296 563451 643944 727944 751268 858592 970592 1126902 1287888 1455888 1502536 2253804 2372627 2575776 2911776 3005072 4507608 4745254 6010144 7117881 9015216 9490508 14235762 16608389 18030432 18981016 28471524 33216778 37962032 49825167 56943048 66433556 75924064 99650334 113886096 116258723 132867112 199300668 227772192 232517446 265734224 348776169 398601336 465034892 531468448 697552338 797202672 930069784 1395104676 1594405344 1860139568 2790209352 3720279136 5580418704 11160837408