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107622074340 = 2232511509106787
BaseRepresentation
bin110010000111011000…
…1101000011111100100
3101021210100220211121100
41210032301220133210
53230402222334330
6121235122320100
710526655352404
oct1441661503744
9337710824540
10107622074340
11417079453a0
1218a364b9030
13a1c196c8c1
1452cd46c804
152bed482060
hex190ec687e4

107622074340 has 144 divisors (see below), whose sum is σ = 356834237760. Its totient is φ = 26038698240.

The previous prime is 107622074333. The next prime is 107622074387. The reversal of 107622074340 is 43470226701.

107622074340 is a `hidden beast` number, since 10 + 7 + 6 + 2 + 207 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107622074295 and 107622074304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954427 + ... + 1061213.

It is an arithmetic number, because the mean of its divisors is an integer number (2478015540).

Almost surely, 2107622074340 is an apocalyptic number.

107622074340 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 107622074340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178417118880).

107622074340 is an abundant number, since it is smaller than the sum of its proper divisors (249212163420).

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

107622074340 is a wasteful number, since it uses less digits than its factorization.

107622074340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107322 (or 107317 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 107622074340 in words is "one hundred seven billion, six hundred twenty-two million, seventy-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 509 660 990 1018 1527 1980 2036 2545 3054 4581 5090 5599 6108 7635 9162 10180 11198 15270 16797 18324 22396 22905 27995 30540 33594 45810 50391 55990 67188 83985 91620 100782 106787 111980 167970 201564 213574 251955 320361 335940 427148 503910 533935 640722 961083 1007820 1067870 1174657 1281444 1601805 1922166 2135740 2349314 3203610 3523971 3844332 4698628 4805415 5873285 6407220 7047942 9610830 10571913 11746570 14095884 17619855 19221660 21143826 23493140 35239710 42287652 52859565 54354583 70479420 105719130 108709166 163063749 211438260 217418332 271772915 326127498 489191247 543545830 597900413 652254996 815318745 978382494 1087091660 1195800826 1630637490 1793701239 1956764988 2391601652 2445956235 2989502065 3261274980 3587402478 4891912470 5381103717 5979004130 7174804956 8968506195 9783824940 10762207434 11958008260 17937012390 21524414868 26905518585 35874024780 53811037170 107622074340