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146531887780 = 22519478204473
BaseRepresentation
bin1000100001110111111…
…0110010101010100100
3112000020001121011021211
42020131332302222210
54400044130402110
6151152114521204
713405124331625
oct2103576625244
9460201534254
10146531887780
1157164481103
1224495296204
1310a82bc9155
147140d33a4c
153c293c098a
hex221dfb2aa4

146531887780 has 48 divisors (see below), whose sum is σ = 330804391680. Its totient is φ = 54346422528.

The previous prime is 146531887687. The next prime is 146531887807. The reversal of 146531887780 is 87788135641.

146531887780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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, 4084377 + ... + 4120096.

It is an arithmetic number, because the mean of its divisors is an integer number (6891758160).

Almost surely, 2146531887780 is an apocalyptic number.

146531887780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146531887780 is an abundant number, since it is smaller than the sum of its proper divisors (184272503900).

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

146531887780 is a wasteful number, since it uses less digits than its factorization.

146531887780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204548 (or 8204546 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 58.

The spelling of 146531887780 in words is "one hundred forty-six billion, five hundred thirty-one million, eight hundred eighty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 17860 8204473 16408946 32817892 41022365 82044730 155884987 164089460 311769974 385610231 623539948 771220462 779424935 1542440924 1558849870 1928051155 3117699740 3856102310 7326594389 7712204620 14653188778 29306377556 36632971945 73265943890 146531887780