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146963372952 = 23311569978347
BaseRepresentation
bin1000100011011110110…
…0110001101110011000
3112001100010111212200010
42020313230301232120
54401440110413302
6151303011041520
713421614026114
oct2106754615630
9461303455603
10146963372952
1157365aa1320
12245958a02a0
1310b21412716
147182372744
153c5220316c
hex2237b31b98

146963372952 has 64 divisors (see below), whose sum is σ = 401514019200. Its totient is φ = 44456042240.

The previous prime is 146963372939. The next prime is 146963373031. The reversal of 146963372952 is 259273369641.

146963372952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146963372892 and 146963372901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338958 + ... + 639389.

It is an arithmetic number, because the mean of its divisors is an integer number (6273656550).

Almost surely, 2146963372952 is an apocalyptic number.

146963372952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146963372952 is an abundant number, since it is smaller than the sum of its proper divisors (254550646248).

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

146963372952 is a wasteful number, since it uses less digits than its factorization.

146963372952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978936 (or 978932 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

It can be divided in two parts, 146963 and 372952, that added together give a palindrome (519915).

The spelling of 146963372952 in words is "one hundred forty-six billion, nine hundred sixty-three million, three hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 569 1138 1707 2276 3414 4552 6259 6828 12518 13656 18777 25036 37554 50072 75108 150216 978347 1956694 2935041 3913388 5870082 7826776 10761817 11740164 21523634 23480328 32285451 43047268 64570902 86094536 129141804 258283608 556679443 1113358886 1670038329 2226717772 3340076658 4453435544 6123473873 6680153316 12246947746 13360306632 18370421619 24493895492 36740843238 48987790984 73481686476 146963372952