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1046013432336 = 243219409393407
BaseRepresentation
bin11110011100010110100…
…00100101001000010000
310200222221110210222100200
433032023100211020100
5114114213414313321
62120310522015200
7135400121321355
oct17161320451020
93628843728320
101046013432336
11373680349724
1214a883947500
137783c13aa92
14388ad51c62c
151c32113ad26
hexf38b425210

1046013432336 has 120 divisors (see below), whose sum is σ = 3082243557120. Its totient is φ = 330235792128.

The previous prime is 1046013432311. The next prime is 1046013432367. The reversal of 1046013432336 is 6332343106401.

1046013432336 is a `hidden beast` number, since 1 + 0 + 4 + 601 + 3 + 43 + 2 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1046013432336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11151745 + ... + 11245151.

It is an arithmetic number, because the mean of its divisors is an integer number (25685362976).

Almost surely, 21046013432336 is an apocalyptic number.

1046013432336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046013432336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541121778560).

1046013432336 is an abundant number, since it is smaller than the sum of its proper divisors (2036230124784).

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

1046013432336 is a wasteful number, since it uses less digits than its factorization.

1046013432336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97533 (or 97524 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 1046013432336 its reverse (6332343106401), we get a palindrome (7378356538737).

The spelling of 1046013432336 in words is "one trillion, forty-six billion, thirteen million, four hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 4093 8186 12279 16372 24558 32744 36837 49116 65488 73674 77767 93407 98232 147348 155534 186814 196464 233301 280221 294696 311068 373628 466602 560442 589392 622136 699903 747256 840663 933204 1120884 1244272 1399806 1494512 1681326 1774733 1866408 2241768 2799612 3362652 3549466 3732816 4483536 5324199 5599224 6725304 7098932 10648398 11198448 13450608 14197864 15972597 21296796 28395728 31945194 42593592 63890388 85187184 127780776 255561552 382314851 764629702 1146944553 1529259404 2293889106 3058518808 3440833659 4587778212 6117037616 6881667318 7263982169 9175556424 13763334636 14527964338 18351112848 21791946507 27526669272 29055928676 43583893014 55053338544 58111857352 65375839521 87167786028 116223714704 130751679042 174335572056 261503358084 348671144112 523006716168 1046013432336