Search a number
-
+
106074463446 = 2327841860821
BaseRepresentation
bin110001011001010000…
…1111101110011010110
3101010210111211001120100
41202302201331303112
53214220030312241
6120421355514530
710443424030320
oct1426241756326
9333714731510
10106074463446
1140a932a6426
1218684158a46
13a00614a803
1451c3ad4610
152b5c6809b6
hex18b287dcd6

106074463446 has 24 divisors (see below), whose sum is σ = 262660576464. Its totient is φ = 30306989520.

The previous prime is 106074463427. The next prime is 106074463459. The reversal of 106074463446 is 644364470601.

106074463446 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 7 + 4 + 4 + 634 + 4 + 6 = 666.

It is a super-3 number, since 3×1060744634463 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420930285 + ... + 420930536.

It is an arithmetic number, because the mean of its divisors is an integer number (10944190686).

Almost surely, 2106074463446 is an apocalyptic number.

106074463446 is an abundant number, since it is smaller than the sum of its proper divisors (156586113018).

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

106074463446 is a wasteful number, since it uses less digits than its factorization.

106074463446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841860836 (or 841860833 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 106074463446 in words is "one hundred six billion, seventy-four million, four hundred sixty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 841860821 1683721642 2525582463 5051164926 5893025747 7576747389 11786051494 15153494778 17679077241 35358154482 53037231723 106074463446