Search a number
-
+
715050705616 = 241321924157751
BaseRepresentation
bin10100110011111000101…
…01111110001011010000
32112100200010001110110021
422121330111332023100
543203410440034431
61304253442113224
7102442423466512
oct12317425761320
92470603043407
10715050705616
11256284533585
12b66b904b814
135257665a600
1426874167bb2
1513900585b11
hexa67c57e2d0

715050705616 has 120 divisors (see below), whose sum is σ = 1585715144640. Its totient is φ = 311351040000.

The previous prime is 715050705613. The next prime is 715050705617. The reversal of 715050705616 is 616507050517.

It is a super-2 number, since 2×7150507056162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715050705613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12352741 + ... + 12410491.

It is an arithmetic number, because the mean of its divisors is an integer number (13214292872).

Almost surely, 2715050705616 is an apocalyptic number.

715050705616 is a gapful number since it is divisible by the number (76) 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 715050705616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792857572320).

715050705616 is an abundant number, since it is smaller than the sum of its proper divisors (870664439024).

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

715050705616 is a wasteful number, since it uses less digits than its factorization.

715050705616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58045 (or 58026 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 43.

The spelling of 715050705616 in words is "seven hundred fifteen billion, fifty million, seven hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 241 247 304 338 482 494 676 964 988 1352 1928 1976 2704 3133 3211 3856 3952 4579 6266 6422 9158 12532 12844 18316 25064 25688 36632 40729 50128 51376 57751 59527 73264 81458 115502 119054 162916 231004 238108 325832 462008 476216 651664 750763 773851 924016 952432 1097269 1501526 1547702 2194538 3003052 3095404 4389076 6006104 6190808 8778152 9759919 12012208 12381616 13917991 14264497 17556304 19519838 27835982 28528994 39039676 55671964 57057988 78079352 111343928 114115976 156158704 180933883 185438461 222687856 228231952 264441829 361867766 370876922 528883658 723735532 741753844 1057767316 1447471064 1483507688 2115534632 2352140479 2894942128 2967015376 3437743777 4231069264 4704280958 6875487554 9408561916 13750975108 18817123832 27501950216 37634247664 44690669101 55003900432 89381338202 178762676404 357525352808 715050705616