Search a number
-
+
146087896818420 = 223251674859876807
BaseRepresentation
bin100001001101110110111101…
…001100100010001011110100
3201011020212101201011002212200
4201031312331030202023310
5123122001003041142140
61234411504151544500
742525334161316134
oct4115667514421364
9634225351132780
10146087896818420
1142603590283297
121447499108b130
13636904cc2c70b
142810998940ac4
1511d5134d5b030
hex84ddbd3222f4

146087896818420 has 72 divisors (see below), whose sum is σ = 445786779844224. Its totient is φ = 38723498390208.

The previous prime is 146087896818361. The next prime is 146087896818427. The reversal of 146087896818420 is 24818698780641.

It is a happy number.

146087896818420 is a `hidden beast` number, since 1 + 4 + 60 + 8 + 7 + 89 + 68 + 1 + 8 + 420 = 666.

146087896818420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146087896818427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2429908344 + ... + 2429968463.

It is an arithmetic number, because the mean of its divisors is an integer number (6191483053392).

Almost surely, 2146087896818420 is an apocalyptic number.

146087896818420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146087896818420 is an abundant number, since it is smaller than the sum of its proper divisors (299698883025804).

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

146087896818420 is a wasteful number, since it uses less digits than its factorization.

146087896818420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859876989 (or 4859876984 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 146087896818420 in words is "one hundred forty-six trillion, eighty-seven billion, eight hundred ninety-six million, eight hundred eighteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 4859876807 9719753614 14579630421 19439507228 24299384035 29159260842 43738891263 48598768070 58318521684 72898152105 87477782526 97197536140 145796304210 174955565052 218694456315 291592608420 437388912630 811599426769 874777825260 1623198853538 2434798280307 3246397707076 4057997133845 4869596560614 7304394840921 8115994267690 9739193121228 12173991401535 14608789681842 16231988535380 24347982803070 29217579363684 36521974204605 48695965606140 73043948409210 146087896818420