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11149377696 = 2532237192341
BaseRepresentation
bin10100110001000111…
…00000000010100000
31001210000112001220200
422120203200002200
5140313220041241
65042201505200
7543202101222
oct123043400240
931700461820
1011149377696
114801595536
1221b1aa2200
131088b69212
1477aa76412
15453c494b6
hex2988e00a0

11149377696 has 144 divisors (see below), whose sum is σ = 33144733440. Its totient is φ = 3548413440.

The previous prime is 11149377683. The next prime is 11149377727. The reversal of 11149377696 is 69677394111.

It is a tau number, because it is divible by the number of its divisors (144).

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, 4761486 + ... + 4763826.

It is an arithmetic number, because the mean of its divisors is an integer number (230171760).

Almost surely, 211149377696 is an apocalyptic number.

11149377696 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 11149377696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572366720).

11149377696 is an abundant number, since it is smaller than the sum of its proper divisors (21995355744).

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

11149377696 is a wasteful number, since it uses less digits than its factorization.

11149377696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3088 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The spelling of 11149377696 in words is "eleven billion, one hundred forty-nine million, three hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 719 736 828 1104 1438 1656 2157 2208 2341 2876 3312 4314 4682 5752 6471 6624 7023 8628 9364 11504 12942 14046 16537 17256 18728 21069 23008 25884 28092 33074 34512 37456 42138 49611 51768 53843 56184 66148 69024 74912 84276 99222 103536 107686 112368 132296 148833 161529 168552 198444 207072 215372 224736 264592 297666 323058 337104 396888 430744 484587 529184 595332 646116 674208 793776 861488 969174 1190664 1292232 1587552 1683179 1722976 1938348 2381328 2584464 3366358 3876696 4762656 5049537 5168928 6732716 7753392 10099074 13465432 15148611 15506784 20198148 26930864 30297222 38713117 40396296 53861728 60594444 77426234 80792592 116139351 121188888 154852468 161585184 232278702 242377776 309704936 348418053 464557404 484755552 619409872 696836106 929114808 1238819744 1393672212 1858229616 2787344424 3716459232 5574688848 11149377696