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1137470004480 = 2835617480091
BaseRepresentation
bin10000100011010110011…
…111101101110100000000
311000202000020111012211110
4100203112133231310000
5122114014310120410
62230314013443320
7145115365340055
oct20432637556400
94022006435743
101137470004480
113a9442188a47
121645484a0540
1383355958464
143d0a7a5702c
151e8c52d4720
hex108d67edd00

1137470004480 has 144 divisors (see below), whose sum is σ = 3638690241984. Its totient is φ = 302833090560.

The previous prime is 1137470004469. The next prime is 1137470004523. The reversal of 1137470004480 is 844000747311.

It is a super-2 number, since 2×11374700044802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2129235 + ... + 2609325.

It is an arithmetic number, because the mean of its divisors is an integer number (25268682236).

Almost surely, 21137470004480 is an apocalyptic number.

1137470004480 is a gapful number since it is divisible by the number (10) 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 1137470004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819345120992).

1137470004480 is an abundant number, since it is smaller than the sum of its proper divisors (2501220237504).

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

1137470004480 is an equidigital number, since it uses as much as digits as its factorization.

1137470004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480732 (or 480718 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 1137470004480 in words is "one trillion, one hundred thirty-seven billion, four hundred seventy million, four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 617 640 768 960 1234 1280 1851 1920 2468 3085 3702 3840 4936 6170 7404 9255 9872 12340 14808 18510 19744 24680 29616 37020 39488 49360 59232 74040 78976 98720 118464 148080 157952 197440 236928 296160 394880 473856 480091 592320 789760 960182 1184640 1440273 1920364 2369280 2400455 2880546 3840728 4800910 5761092 7201365 7681456 9601820 11522184 14402730 15362912 19203640 23044368 28805460 30725824 38407280 46088736 57610920 61451648 76814560 92177472 115221840 122903296 153629120 184354944 230443680 296216147 307258240 368709888 460887360 592432294 614516480 888648441 921774720 1184864588 1481080735 1777296882 1843549440 2369729176 2962161470 3554593764 4443242205 4739458352 5924322940 7109187528 8886484410 9478916704 11848645880 14218375056 17772968820 18957833408 23697291760 28436750112 35545937640 37915666816 47394583520 56873500224 71091875280 75831333632 94789167040 113747000448 142183750560 189578334080 227494000896 284367501120 379156668160 568735002240 1137470004480