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106374966238782 = 23253487761300869
BaseRepresentation
bin11000001011111101011010…
…000100110101111000111110
3111221122100101021222121200100
4120023331122010311320332
5102420321412324120112
61014123552421341530
731256223554121033
oct3013753204657076
9457570337877610
10106374966238782
113099240828566a
12bb20220b678a6
1347481685b98c7
141c3a80c14d38a
15c470cc5102dc
hex60bf5a135e3e

106374966238782 has 96 divisors (see below), whose sum is σ = 235619942800320. Its totient is φ = 34672124597760.

The previous prime is 106374966238781. The next prime is 106374966238787. The reversal of 106374966238782 is 287832669473601.

106374966238782 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 7 + 496 + 62 + 3 + 8 + 78 + 2 = 666.

It is a super-2 number, since 2×1063749662387822 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106374966238782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106374966238781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353408644 + ... + 353709512.

It is an arithmetic number, because the mean of its divisors is an integer number (2454374404170).

Almost surely, 2106374966238782 is an apocalyptic number.

106374966238782 is an abundant number, since it is smaller than the sum of its proper divisors (129244976561538).

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

106374966238782 is a wasteful number, since it uses less digits than its factorization.

106374966238782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302178 (or 302175 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 106374966238782 in words is "one hundred six trillion, three hundred seventy-four billion, nine hundred sixty-six million, two hundred thirty-eight thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 487 761 954 974 1461 1522 2283 2922 4383 4566 6849 8766 13698 25811 40333 51622 77433 80666 120999 154866 232299 241998 300869 362997 370607 464598 601738 725994 741214 902607 1111821 1805214 2223642 2707821 3335463 5415642 6670926 15946057 19642171 31892114 39284342 47838171 58926513 95676342 117853026 143514513 146523203 176779539 228961309 287029026 293046406 353559078 439569609 457922618 686883927 879139218 1318708827 1373767854 2060651781 2637417654 4121303562 7765729759 12134949377 15531459518 23297189277 24269898754 36404848131 46594378554 69891567831 72809696262 109214544393 111504157483 139783135662 218429088786 223008314966 334512472449 669024944898 1003537417347 2007074834694 5909720346599 11819440693198 17729161039797 35458322079594 53187483119391 106374966238782