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15379529680 = 2454114931469
BaseRepresentation
bin11100101001011000…
…01111111111010000
31110200211022001112101
432110230033333100
5222444124422210
611022032410144
71053055562644
oct162454177720
943624261471
1015379529680
116582386309
122b926a6954
1315b1371128
14a5c7bac24
156002d2a3a
hex394b0ffd0

15379529680 has 80 divisors (see below), whose sum is σ = 36876546000. Its totient is φ = 5961297920.

The previous prime is 15379529611. The next prime is 15379529699. The reversal of 15379529680 is 8692597351.

It can be written as a sum of positive squares in 8 ways, for example, as 4674730384 + 10704799296 = 68372^2 + 103464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 472986 + ... + 504454.

It is an arithmetic number, because the mean of its divisors is an integer number (460956825).

Almost surely, 215379529680 is an apocalyptic number.

15379529680 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 15379529680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18438273000).

15379529680 is an abundant number, since it is smaller than the sum of its proper divisors (21497016320).

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

15379529680 is a wasteful number, since it uses less digits than its factorization.

15379529680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31672 (or 31666 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 15379529680 in words is "fifteen billion, three hundred seventy-nine million, five hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 149 164 205 298 328 410 596 656 745 820 1192 1490 1640 2384 2980 3280 5960 6109 11920 12218 24436 30545 31469 48872 61090 62938 97744 122180 125876 157345 244360 251752 314690 488720 503504 629380 1258760 1290229 2517520 2580458 4688881 5160916 6451145 9377762 10321832 12902290 18755524 20643664 23444405 25804580 37511048 46888810 51609160 75022096 93777620 103218320 187555240 192244121 375110480 384488242 768976484 961220605 1537952968 1922441210 3075905936 3844882420 7689764840 15379529680