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10503202330432 = 26723349235437
BaseRepresentation
bin1001100011010111011110…
…1001001101011101000000
31101012002121020012012120201
42120311313221031131000
52334041024244033212
634201034325214544
72132555100521200
oct230656751153500
941162536165521
1010503202330432
11338a423996799
121217711261454
135b25a887c776
14284501786400
1513332bc84b57
hex98d77a4d740

10503202330432 has 42 divisors (see below), whose sum is σ = 24245115335682. Its totient is φ = 4501372425984.

The previous prime is 10503202330399. The next prime is 10503202330441. The reversal of 10503202330432 is 23403320230501.

10503202330432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7002501458176 + 3500700872256 = 2646224^2 + 1871016^2 .

It is a super-2 number, since 2×105032023304322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 10503202330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1674614583 + ... + 1674620854.

Almost surely, 210503202330432 is an apocalyptic number.

It is an amenable number.

10503202330432 is an abundant number, since it is smaller than the sum of its proper divisors (13741913005250).

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

10503202330432 is an equidigital number, since it uses as much as digits as its factorization.

10503202330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349235463 (or 3349235446 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 10503202330432 its reverse (23403320230501), we get a palindrome (33906522560933).

The spelling of 10503202330432 in words is "ten trillion, five hundred three billion, two hundred two million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 3349235437 6698470874 13396941748 23444648059 26793883496 46889296118 53587766992 93778592236 107175533984 164112536413 187557184472 214351067968 328225072826 375114368944 656450145652 750228737888 1312900291304 1500457475776 2625800582608 5251601165216 10503202330432