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1046134214076 = 223741663745767
BaseRepresentation
bin11110011100100100111…
…01010100110110111100
310201000020220002022202110
433032102131110312330
5114114440324322301
62120330514454020
7135403116046620
oct17162235246674
93630226068673
101046134214076
11373732544846
1214a8b8294310
137785b179773
14388c159d180
151c32ba480d6
hexf392754dbc

1046134214076 has 96 divisors (see below), whose sum is σ = 2858225513472. Its totient is φ = 291555048960.

The previous prime is 1046134213973. The next prime is 1046134214131. The reversal of 1046134214076 is 6704124316401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22834945 + ... + 22880711.

It is an arithmetic number, because the mean of its divisors is an integer number (29773182432).

Almost surely, 21046134214076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046134214076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429112756736).

1046134214076 is an abundant number, since it is smaller than the sum of its proper divisors (1812091299396).

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

1046134214076 is a wasteful number, since it uses less digits than its factorization.

1046134214076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52459 (or 52457 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 1046134214076 in words is "one trillion, forty-six billion, one hundred thirty-four million, two hundred fourteen thousand, seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 6637 13274 19911 26548 39822 45767 46459 79644 91534 92918 137301 139377 183068 185836 272117 274602 278754 320369 544234 549204 557508 640738 816351 961107 1088468 1281476 1632702 1876447 1904819 1922214 3265404 3752894 3809638 3844428 5629341 5714457 7505788 7619276 11258682 11428914 13135129 22517364 22857828 26270258 39405387 52540516 78810774 157621548 303755579 607511158 911266737 1215022316 1822533474 2126289053 3645066948 4252578106 6378867159 8505156212 12453978739 12757734318 24907957478 25515468636 37361936217 49815914956 74723872434 87177851173 149447744868 174355702346 261533553519 348711404692 523067107038 1046134214076