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107471133056 = 2771956311213
BaseRepresentation
bin110010000010111000…
…1110101100110000000
3101021101211220020002102
41210011301311212000
53230100102224211
6121212131205532
710523143362350
oct1440561654600
9337354806072
10107471133056
114163a71aa31
12189b3a468a8
13a199601431
1452b73bab60
152be00b8a3b
hex1905c75980

107471133056 has 128 divisors (see below), whose sum is σ = 258047596800. Its totient is φ = 43553507328.

The previous prime is 107471133019. The next prime is 107471133071. The reversal of 107471133056 is 650331174701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9578906 + ... + 9590118.

It is an arithmetic number, because the mean of its divisors is an integer number (2015996850).

Almost surely, 2107471133056 is an apocalyptic number.

107471133056 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 107471133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129023798400).

107471133056 is an abundant number, since it is smaller than the sum of its proper divisors (150576463744).

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

107471133056 is a wasteful number, since it uses less digits than its factorization.

107471133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 107471133056 in words is "one hundred seven billion, four hundred seventy-one million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 563 608 896 1064 1126 1216 2128 2252 2432 3941 4256 4504 7882 8512 9008 10697 11213 15764 17024 18016 21394 22426 31528 36032 42788 44852 63056 72064 74879 78491 85576 89704 126112 149758 156982 171152 179408 213047 252224 299516 313964 342304 358816 426094 504448 599032 627928 684608 717632 852188 1198064 1255856 1369216 1435264 1491329 1704376 2396128 2511712 2982658 3408752 4792256 5023424 5965316 6312919 6817504 9584512 10046848 11930632 12625838 13635008 23861264 25251676 27270016 44190433 47722528 50503352 88380866 95445056 101006704 119945461 176761732 190890112 202013408 239890922 353523464 404026816 479781844 707046928 808053632 839618227 959563688 1414093856 1679236454 1919127376 2828187712 3358472908 3838254752 5656375424 6716945816 7676509504 13433891632 15353019008 26867783264 53735566528 107471133056