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1023501385536 = 2637761533769
BaseRepresentation
bin11101110010011010110…
…11111011111101000000
310121211211120102111201120
432321031123323331000
5113232112323314121
62102105014432240
7133642214143020
oct16711533737500
93554746374646
101023501385536
11365078938773
12146440662680
13756921a6626
143777576ba80
151b954ab4bc6
hexee4d6fbf40

1023501385536 has 56 divisors (see below), whose sum is σ = 3094873241280. Its totient is φ = 292428966912.

The previous prime is 1023501385499. The next prime is 1023501385547. The reversal of 1023501385536 is 6355831053201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-4 number, since 4×10235013855364 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380765541 + ... + 380768228.

Almost surely, 21023501385536 is an apocalyptic number.

1023501385536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1023501385536 is an abundant number, since it is smaller than the sum of its proper divisors (2071371855744).

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

1023501385536 is an equidigital number, since it uses as much as digits as its factorization.

1023501385536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761533791 (or 761533781 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 1023501385536 in words is "one trillion, twenty-three billion, five hundred one million, three hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 761533769 1523067538 2284601307 3046135076 4569202614 5330736383 6092270152 9138405228 10661472766 12184540304 15992209149 18276810456 21322945532 24369080608 31984418298 36553620912 42645891064 48738161216 63968836596 73107241824 85291782128 127937673192 146214483648 170583564256 255875346384 341167128512 511750692768 1023501385536