Search a number
-
+
13155000372 = 22365976463
BaseRepresentation
bin11000100000001100…
…10110000000110100
31020221210110021000000
430100012112000310
5203420140002442
610013205151300
7643664441523
oct142006260064
936853407000
1013155000372
115640722538
1226716bb530
1313185318b7
148cb1964ba
1551ed6cd4c
hex310196034

13155000372 has 84 divisors (see below), whose sum is σ = 35101563840. Its totient is φ = 4310621712.

The previous prime is 13155000361. The next prime is 13155000373. The reversal of 13155000372 is 27300055131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13155000373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 133813 + ... + 210275.

It is an arithmetic number, because the mean of its divisors is an integer number (417875760).

Almost surely, 213155000372 is an apocalyptic number.

13155000372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

13155000372 is the 57348-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13155000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550781920).

13155000372 is an abundant number, since it is smaller than the sum of its proper divisors (21946563468).

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

13155000372 is an equidigital number, since it uses as much as digits as its factorization.

13155000372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76544 (or 76527 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 13155000372 in words is "thirteen billion, one hundred fifty-five million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 729 972 1062 1458 1593 2124 2916 3186 4779 6372 9558 14337 19116 28674 43011 57348 76463 86022 152926 172044 229389 305852 458778 688167 917556 1376334 2064501 2752668 4129002 4511317 6193503 8258004 9022634 12387006 13533951 18045268 18580509 24774012 27067902 37161018 40601853 54135804 55741527 74322036 81203706 111483054 121805559 162407412 222966108 243611118 365416677 487222236 730833354 1096250031 1461666708 2192500062 3288750093 4385000124 6577500186 13155000372