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628424590140 = 223351163749241
BaseRepresentation
bin10010010010100010000…
…01100100001100111100
32020002001222201211211000
421021101001210030330
540244003143341030
61200405543530300
763254642611134
oct11112101441474
92202058654730
10628424590140
11222571330906
12a1962159990
134734c819309
14225b7399ac4
1511530503860
hex925106433c

628424590140 has 48 divisors (see below), whose sum is σ = 1955098726560. Its totient is φ = 167579890560.

The previous prime is 628424590109. The next prime is 628424590147. The reversal of 628424590140 is 41095424826.

It is a happy number.

628424590140 is a `hidden beast` number, since 6 + 2 + 8 + 42 + 4 + 590 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628424590147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581874081 + ... + 581875160.

It is an arithmetic number, because the mean of its divisors is an integer number (40731223470).

Almost surely, 2628424590140 is an apocalyptic number.

628424590140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

628424590140 is an abundant number, since it is smaller than the sum of its proper divisors (1326674136420).

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

628424590140 is a wasteful number, since it uses less digits than its factorization.

628424590140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163749259 (or 1163749251 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 628424590140 in words is "six hundred twenty-eight billion, four hundred twenty-four million, five hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1163749241 2327498482 3491247723 4654996964 5818746205 6982495446 10473743169 11637492410 13964990892 17456238615 20947486338 23274984820 31421229507 34912477230 41894972676 52368715845 62842459014 69824954460 104737431690 125684918028 157106147535 209474863380 314212295070 628424590140