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107626472514 = 232113157730389
BaseRepresentation
bin110010000111100001…
…0011010010001000010
3101021210200012021202200
41210033002122101002
53230404334110024
6121235400454030
710530040631151
oct1441702322102
9337720167680
10107626472514
114170a379850
1218a37a7a316
13a1c284c782
1452cdc95598
152beda502c9
hex190f09a442

107626472514 has 96 divisors (see below), whose sum is σ = 263059729920. Its totient is φ = 31506278400.

The previous prime is 107626472347. The next prime is 107626472567. The reversal of 107626472514 is 415274626701.

107626472514 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 2 + 64 + 72 + 514 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 107626472514.

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, 3526432 + ... + 3556820.

It is an arithmetic number, because the mean of its divisors is an integer number (2740205520).

Almost surely, 2107626472514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107626472514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131529864960).

107626472514 is an abundant number, since it is smaller than the sum of its proper divisors (155433257406).

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

107626472514 is a wasteful number, since it uses less digits than its factorization.

107626472514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31016 (or 31013 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 107626472514 in words is "one hundred seven billion, six hundred twenty-six million, four hundred seventy-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 577 682 1023 1154 1731 2046 3069 3462 5193 6138 6347 10386 12694 17887 19041 30389 35774 38082 53661 57123 60778 91167 107322 114246 160983 182334 196757 273501 321966 334279 393514 547002 590271 668558 942059 1002837 1180542 1770813 1884118 2005674 2826177 3008511 3541626 5652354 6017022 8478531 10362649 16957062 17534453 20725298 31087947 35068906 52603359 62175894 93263841 105206718 157810077 186527682 192878983 315620154 385757966 543568043 578636949 1087136086 1157273898 1630704129 1735910847 3261408258 3471821694 4892112387 5979248473 9784224774 11958496946 17937745419 35875490838 53813236257 107626472514