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1046007734244 = 22311127191326681
BaseRepresentation
bin11110011100010101110…
…10110101111111100100
310200222221002002111001020
433032022322311333210
5114114210434443434
62120310155531140
7135400022020014
oct17161272657744
93628832074036
101046007734244
11373678107660
1214a881a59ab0
137783abc4325
14388ac877c44
151c3208b2849
hexf38aeb5fe4

1046007734244 has 96 divisors (see below), whose sum is σ = 2697588375552. Its totient is φ = 312828768000.

The previous prime is 1046007734237. The next prime is 1046007734267. The reversal of 1046007734244 is 4424377006401.

It is a junction number, because it is equal to n+sod(n) for n = 1046007734196 and 1046007734205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3038584 + ... + 3365264.

It is an arithmetic number, because the mean of its divisors is an integer number (28099878912).

Almost surely, 21046007734244 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 1046007734244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348794187776).

1046007734244 is an abundant number, since it is smaller than the sum of its proper divisors (1651580641308).

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

1046007734244 is a wasteful number, since it uses less digits than its factorization.

1046007734244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327017 (or 327015 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 1046007734244 in words is "one trillion, forty-six billion, seven million, seven hundred thirty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 191 254 381 382 508 573 762 764 1146 1397 1524 2101 2292 2794 4191 4202 5588 6303 8382 8404 12606 16764 24257 25212 48514 72771 97028 145542 266827 291084 326681 533654 653362 800481 980043 1067308 1306724 1600962 1960086 3201924 3593491 3920172 7186982 10780473 14373964 21560946 41488487 43121892 62396071 82976974 124465461 124792142 165953948 187188213 248930922 249584284 374376426 456373357 497861844 686356781 748752852 912746714 1369120071 1372713562 1825493428 2059070343 2738240142 2745427124 4118140686 5476480284 7924301017 8236281372 15848602034 23772903051 31697204068 47545806102 87167311187 95091612204 174334622374 261501933561 348669244748 523003867122 1046007734244