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107734067430 = 235112239111607
BaseRepresentation
bin110010001010101110…
…0110110100011100110
3101022002011122200020120
41210111130312203212
53231114410124210
6121254202542410
710532515315023
oct1442534664346
9338064580216
10107734067430
1141765088470
1218a67b07a06
13a20bc221c2
1453002a254a
152c08205270
hex19157368e6

107734067430 has 128 divisors (see below), whose sum is σ = 283819769856. Its totient is φ = 25955529600.

The previous prime is 107734067429. The next prime is 107734067431. The reversal of 107734067430 is 34760437701.

It is an interprime number because it is at equal distance from previous prime (107734067429) and next prime (107734067431).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107734067431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 67039687 + ... + 67041293.

It is an arithmetic number, because the mean of its divisors is an integer number (2217341952).

Almost surely, 2107734067430 is an apocalyptic number.

107734067430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107734067430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141909884928).

107734067430 is an abundant number, since it is smaller than the sum of its proper divisors (176085702426).

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

107734067430 is a wasteful number, since it uses less digits than its factorization.

107734067430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762.

The product of its (nonzero) digits is 296352, while the sum is 42.

The spelling of 107734067430 in words is "one hundred seven billion, seven hundred thirty-four million, sixty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 223 330 446 669 911 1115 1338 1607 1822 2230 2453 2733 3214 3345 4555 4821 4906 5466 6690 7359 8035 9110 9642 10021 12265 13665 14718 16070 17677 20042 24105 24530 27330 30063 35354 36795 48210 50105 53031 60126 73590 88385 100210 106062 150315 176770 203153 265155 300630 358361 406306 530310 609459 716722 1015765 1075083 1218918 1463977 1791805 2031530 2150166 2234683 2927954 3047295 3583610 3941971 4391931 4469366 5375415 6094590 6704049 7319885 7883942 8783862 10750830 11173415 11825913 13408098 14639770 16103747 19709855 21959655 22346830 23651826 32207494 33520245 39419710 43919310 48311241 59129565 67040490 80518735 96622482 118259130 161037470 241556205 326466871 483112410 652933742 979400613 1632334355 1958801226 3264668710 3591135581 4897003065 7182271162 9794006130 10773406743 17955677905 21546813486 35911355810 53867033715 107734067430