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11077305984 = 27343473079
BaseRepresentation
bin10100101000100001…
…00100011010000000
31001120222220110010000
422110100210122000
5140141242242414
65031105040000
7541335355503
oct122420443200
931528813100
1011077305984
114774939a38
122191926000
131076c53734
1477127513a
1544c75eb09
hex294424680

11077305984 has 160 divisors (see below), whose sum is σ = 33071623200. Its totient is φ = 3680598528.

The previous prime is 11077305979. The next prime is 11077306027. The reversal of 11077305984 is 48950377011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3596157 + ... + 3599235.

It is an arithmetic number, because the mean of its divisors is an integer number (206697645).

Almost surely, 211077305984 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 11077305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16535811600).

11077305984 is an abundant number, since it is smaller than the sum of its proper divisors (21994317216).

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

11077305984 is an equidigital number, since it uses as much as digits as its factorization.

11077305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11077305984 in words is "eleven billion, seventy-seven million, three hundred five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 347 384 432 576 648 694 864 1041 1152 1296 1388 1728 2082 2592 2776 3079 3123 3456 4164 5184 5552 6158 6246 8328 9237 9369 10368 11104 12316 12492 16656 18474 18738 22208 24632 24984 27711 28107 33312 36948 37476 44416 49264 49968 55422 56214 66624 73896 74952 83133 98528 99936 110844 112428 133248 147792 149904 166266 197056 199872 221688 224856 249399 295584 299808 332532 394112 399744 443376 449712 498798 591168 599616 665064 886752 899424 997596 1068413 1182336 1199232 1330128 1773504 1798848 1995192 2136826 2660256 3205239 3547008 3597696 3990384 4273652 5320512 6410478 7980768 8547304 9615717 10641024 12820956 15961536 17094608 19231434 25641912 28847151 31923072 34189216 38462868 51283824 57694302 68378432 76925736 86541453 102567648 115388604 136756864 153851472 173082906 205135296 230777208 307702944 346165812 410270592 461554416 615405888 692331624 923108832 1230811776 1384663248 1846217664 2769326496 3692435328 5538652992 11077305984