Search a number
-
+
166294107456 = 2637335933049
BaseRepresentation
bin1001101011011111100…
…1101011010101000000
3120220020022200221020220
42122313321223111000
510211032242414311
6204221111503040
715004631406501
oct2326771532500
9526208627226
10166294107456
1164585763264
122828b687a80
13128b224c369
148097800ba8
1544d431d206
hex26b7e6b540

166294107456 has 112 divisors (see below), whose sum is σ = 447269616000. Its totient is φ = 54518095872.

The previous prime is 166294107431. The next prime is 166294107487. The reversal of 166294107456 is 654701492661.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 166294107399 and 166294107408.

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, 5015220 + ... + 5048268.

Almost surely, 2166294107456 is an apocalyptic number.

166294107456 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 166294107456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223634808000).

166294107456 is an abundant number, since it is smaller than the sum of its proper divisors (280975508544).

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

166294107456 is a wasteful number, since it uses less digits than its factorization.

166294107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33496 (or 33486 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 166294107456 in words is "one hundred sixty-six billion, two hundred ninety-four million, one hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 359 438 584 718 876 1077 1168 1436 1752 2154 2336 2872 3504 4308 4672 5744 7008 8616 11488 14016 17232 22976 26207 33049 34464 52414 66098 68928 78621 99147 104828 132196 157242 198294 209656 264392 314484 396588 419312 528784 628968 793176 838624 1057568 1257936 1586352 1677248 2115136 2412577 2515872 3172704 4825154 5031744 6345408 7237731 9650308 11864591 14475462 19300616 23729182 28950924 35593773 38601232 47458364 57901848 71187546 77202464 94916728 115803696 142375092 154404928 189833456 231607392 284750184 379666912 463214784 569500368 759333824 866115143 1139000736 1732230286 2278001472 2598345429 3464460572 5196690858 6928921144 10393381716 13857842288 20786763432 27715684576 41573526864 55431369152 83147053728 166294107456