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10413403500078 = 235311353751059
BaseRepresentation
bin1001011110001000111100…
…1101110110111000101110
31100212111210222211222100000
42113202033031312320232
52331103122244000303
634051503532445130
72123225563203105
oct227421715667056
940774728758300
1010413403500078
113355332887407
12120222b9197a6
135a6c97633ca7
1428002349303c
15130d233e3da3
hex9788f376e2e

10413403500078 has 96 divisors (see below), whose sum is σ = 24155049784320. Its totient is φ = 3358848487680.

The previous prime is 10413403500041. The next prime is 10413403500083. The reversal of 10413403500078 is 87000530431401.

It is a happy number.

10413403500078 is a `hidden beast` number, since 1 + 0 + 41 + 3 + 40 + 3 + 500 + 0 + 78 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203922913 + ... + 203973971.

It is an arithmetic number, because the mean of its divisors is an integer number (251615101920).

Almost surely, 210413403500078 is an apocalyptic number.

10413403500078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413403500078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12077524892160).

10413403500078 is an abundant number, since it is smaller than the sum of its proper divisors (13741646284242).

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

10413403500078 is a wasteful number, since it uses less digits than its factorization.

10413403500078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64644 (or 64632 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 10413403500078 its reverse (87000530431401), we get a palindrome (97413933931479).

The spelling of 10413403500078 in words is "ten trillion, four hundred thirteen billion, four hundred three million, five hundred thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 7533 13537 15066 27074 40611 51059 81222 102118 121833 153177 243666 306354 365499 419647 459531 730998 839294 919062 1096497 1258941 1378593 1582829 2192994 2517882 2757186 3165658 3289491 3776823 4135779 4748487 6578982 7553646 8271558 9496974 11330469 12407337 14245461 22660938 24814674 28490922 33991407 42736383 67982814 85472766 101974221 128209149 203948442 256418298 384627447 691185683 769254894 1382371366 2073557049 4147114098 6220671147 12441342294 18662013441 21426756173 37324026882 42853512346 55986040323 64280268519 111972080646 128560537038 167958120969 192840805557 335916241938 385681611114 578522416671 1157044833342 1735567250013 3471134500026 5206701750039 10413403500078