Search a number
-
+
15166830336 = 28378931699
BaseRepresentation
bin11100010000000001…
…10111011100000000
31110011000001210212220
432020000313130000
5222030202032321
610544553451040
71044563634150
oct161000673400
943130053786
1015166830336
11648330a129
122b33410a80
13157928b728
14a3c450760
155db7ba9c6
hex388037700

15166830336 has 144 divisors (see below), whose sum is σ = 46652256000. Its totient is φ = 4284555264.

The previous prime is 15166830319. The next prime is 15166830377. The reversal of 15166830336 is 63303866151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462615 + ... + 494313.

It is an arithmetic number, because the mean of its divisors is an integer number (323974000).

Almost surely, 215166830336 is an apocalyptic number.

15166830336 is a gapful number since it is divisible by the number (16) 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 15166830336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23326128000).

15166830336 is an abundant number, since it is smaller than the sum of its proper divisors (31485425664).

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

15166830336 is an equidigital number, since it uses as much as digits as its factorization.

15166830336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31814 (or 31800 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 15166830336 in words is "fifteen billion, one hundred sixty-six million, eight hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 89 96 112 128 168 178 192 224 256 267 336 356 384 448 534 623 672 712 768 896 1068 1246 1344 1424 1792 1869 2136 2492 2688 2848 3738 4272 4984 5376 5696 7476 8544 9968 11392 14952 17088 19936 22784 29904 31699 34176 39872 59808 63398 68352 79744 95097 119616 126796 159488 190194 221893 239232 253592 380388 443786 478464 507184 665679 760776 887572 1014368 1331358 1521552 1775144 2028736 2662716 2821211 3043104 3550288 4057472 5325432 5642422 6086208 7100576 8114944 8463633 10650864 11284844 12172416 14201152 16927266 19748477 21301728 22569688 24344832 28402304 33854532 39496954 42603456 45139376 56804608 59245431 67709064 78993908 85206912 90278752 118490862 135418128 157987816 170413824 180557504 236981724 270836256 315975632 361115008 473963448 541672512 631951264 722230016 947926896 1083345024 1263902528 1895853792 2166690048 2527805056 3791707584 5055610112 7583415168 15166830336