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107902817064 = 2334776131259
BaseRepresentation
bin110010001111110000…
…0100101001100101000
3101022111221012001020000
41210133200211030220
53231441110121224
6121323031503000
710536634545330
oct1443740451450
9338457161200
10107902817064
1141841366579
1218ab4527a60
13a237b87363
14531886c0c0
152c17e3a0c9
hex191f825328

107902817064 has 160 divisors (see below), whose sum is σ = 345868142400. Its totient is φ = 30787879680.

The previous prime is 107902817063. The next prime is 107902817081. The reversal of 107902817064 is 460718209701.

It is a happy number.

It is a super-3 number, since 3×1079028170643 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (107902817063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3436267 + ... + 3467525.

It is an arithmetic number, because the mean of its divisors is an integer number (2161675890).

Almost surely, 2107902817064 is an apocalyptic number.

107902817064 is a gapful number since it is divisible by the number (14) 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 107902817064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172934071200).

107902817064 is an abundant number, since it is smaller than the sum of its proper divisors (237965325336).

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

107902817064 is a wasteful number, since it uses less digits than its factorization.

107902817064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32045 (or 32032 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 107902817064 in words is "one hundred seven billion, nine hundred two million, eight hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 761 1134 1512 1522 2268 2283 3044 4536 4566 5327 6088 6849 9132 10654 13698 15981 18264 20547 21308 27396 31259 31962 41094 42616 47943 54792 61641 62518 63924 82188 93777 95886 123282 125036 127848 143829 164376 187554 191772 218813 246564 250072 281331 287658 375108 383544 431487 437626 493128 562662 575316 656439 750216 843993 862974 875252 1125324 1150632 1312878 1687986 1725948 1750504 1969317 2250648 2531979 2625756 3375972 3451896 3938634 5063958 5251512 5907951 6751944 7877268 10127916 11815902 15754536 17723853 20255832 23631804 23788099 35447706 47263608 47576198 70895412 71364297 95152396 141790824 142728594 166516693 190304792 214092891 285457188 333033386 428185782 499550079 570914376 642278673 666066772 856371564 999100158 1284557346 1332133544 1498650237 1712743128 1926836019 1998200316 2569114692 2997300474 3853672038 3996400632 4495950711 5138229384 5994600948 7707344076 8991901422 11989201896 13487852133 15414688152 17983802844 26975704266 35967605688 53951408532 107902817064