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146610638740 = 22517431207761
BaseRepresentation
bin1000100010001010101…
…1001100111110010100
3112000102112210010022001
42020202223030332110
54400224310414430
6151204010445044
713410101603356
oct2104253147624
9460375703261
10146610638740
11571a4979945
12244b7733784
1310a9630cb57
14714b5930d6
153c312793ca
hex2222accf94

146610638740 has 24 divisors (see below), whose sum is σ = 325993068072. Its totient is φ = 55194593280.

The previous prime is 146610638729. The next prime is 146610638767. The reversal of 146610638740 is 47836016641.

It can be written as a sum of positive squares in 4 ways, for example, as 67867544196 + 78743094544 = 260514^2 + 280612^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215603541 + ... + 215604220.

It is an arithmetic number, because the mean of its divisors is an integer number (13583044503).

Almost surely, 2146610638740 is an apocalyptic number.

146610638740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146610638740 is an abundant number, since it is smaller than the sum of its proper divisors (179382429332).

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

146610638740 is a wasteful number, since it uses less digits than its factorization.

146610638740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431207787 (or 431207785 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 146610638740 in words is "one hundred forty-six billion, six hundred ten million, six hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 431207761 862415522 1724831044 2156038805 4312077610 7330531937 8624155220 14661063874 29322127748 36652659685 73305319370 146610638740