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642453013461 = 372172577011427
BaseRepresentation
bin10010101100101010010…
…11110000001111010101
32021102021122200120212010
421112111023300033111
541011220432412321
61211045553414433
764262404340400
oct11262513601725
92242248616763
10642453013461
1122850aa82996
12a461826a419
1348776c9a60c
1423148550d37
1511aa1d9d676
hex95952f03d5

642453013461 has 96 divisors (see below), whose sum is σ = 1061432491392. Its totient is φ = 343444684800.

The previous prime is 642453013451. The next prime is 642453013507. The reversal of 642453013461 is 164310354246.

642453013461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 642453013461 - 25 = 642453013429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642453013441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 450211630 + ... + 450213056.

It is an arithmetic number, because the mean of its divisors is an integer number (11056588452).

Almost surely, 2642453013461 is an apocalyptic number.

It is an amenable number.

642453013461 is a deficient number, since it is larger than the sum of its proper divisors (418979477931).

642453013461 is a wasteful number, since it uses less digits than its factorization.

642453013461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 642453013461 in words is "six hundred forty-two billion, four hundred fifty-three million, thirteen thousand, four hundred sixty-one".

Divisors: 1 3 7 17 21 49 51 119 147 257 357 701 771 833 1427 1799 2103 2499 4281 4369 4907 5397 9989 11917 12593 13107 14721 24259 29967 30583 34349 35751 37779 69923 72777 83419 91749 103047 169813 180157 209769 214081 250257 366739 509439 540471 583933 642243 1000327 1100217 1188691 1261099 1751799 2567173 3000981 3062669 3566073 3783297 6234563 7002289 7701519 8827693 9188007 17005559 17970211 18703689 21006867 21438683 26483079 43641941 49016023 51016677 53910633 64316049 119038913 130925823 147048069 150070781 257084039 305493587 357116739 450212343 771252117 833272391 916480761 1799588273 2499817173 4370428663 5398764819 12597117911 13111285989 30593000641 37791353733 91779001923 214151004487 642453013461