Search a number
-
+
151666834940 = 2252911316314197
BaseRepresentation
bin1000110101000000001…
…1000011110111111100
3112111110220220111112222
42031100003003313330
54441103202204230
6153401430344512
713646305553225
oct2152003036774
9474426814488
10151666834940
1159359a79995
1225488abb138
13113c09b621a
1474aacc224c
153e2a0d16e5
hex23500c3dfc

151666834940 has 96 divisors (see below), whose sum is σ = 334461718080. Its totient is φ = 57696178176.

The previous prime is 151666834933. The next prime is 151666834961. The reversal of 151666834940 is 49438666151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10675922 + ... + 10690118.

It is an arithmetic number, because the mean of its divisors is an integer number (3483976230).

Almost surely, 2151666834940 is an apocalyptic number.

151666834940 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 151666834940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167230859040).

151666834940 is an abundant number, since it is smaller than the sum of its proper divisors (182794883140).

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

151666834940 is a wasteful number, since it uses less digits than its factorization.

151666834940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14511 (or 14509 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 151666834940 in words is "one hundred fifty-one billion, six hundred sixty-six million, eight hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 163 226 290 326 452 565 580 652 815 1130 1630 2260 3260 3277 4727 6554 9454 13108 14197 16385 18419 18908 23635 28394 32770 36838 47270 56788 65540 70985 73676 92095 94540 141970 184190 283940 368380 411713 534151 823426 1068302 1604261 1646852 2058565 2136604 2314111 2670755 3208522 4117130 4628222 5341510 6417044 8021305 8234260 9256444 10683020 11570555 16042610 23141110 32085220 46282220 46523569 67109219 93047138 134218438 186094276 232617845 261494543 268436876 335546095 465235690 522989086 671092190 930471380 1045978172 1307472715 1342184380 2614945430 5229890860 7583341747 15166683494 30333366988 37916708735 75833417470 151666834940