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1051001050656 = 253157439715859
BaseRepresentation
bin11110100101101001000…
…10110101011000100000
310201110211001220020110010
433102310202311120200
5114204422232110111
62122453452004520
7135634533346554
oct17226442653040
93643731806403
101051001050656
113757aa76a137
1214b836160740
1378155552a1b
1438c23ab9864
151c513e48aa6
hexf4b48b5620

1051001050656 has 96 divisors (see below), whose sum is σ = 2777256780480. Its totient is φ = 348001145856.

The previous prime is 1051001050643. The next prime is 1051001050699. The reversal of 1051001050656 is 6560501001501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10510010506562 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66263655 + ... + 66279513.

It is an arithmetic number, because the mean of its divisors is an integer number (28929758130).

Almost surely, 21051001050656 is an apocalyptic number.

1051001050656 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 1051001050656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388628390240).

1051001050656 is an abundant number, since it is smaller than the sum of its proper divisors (1726255729824).

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

1051001050656 is a wasteful number, since it uses less digits than its factorization.

1051001050656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426 (or 20418 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1051001050656 in words is "one trillion, fifty-one billion, one million, fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 4397 5024 7536 8794 13191 15072 15859 17588 26382 31718 35176 47577 52764 63436 70352 95154 105528 126872 140704 190308 211056 253744 380616 422112 507488 690329 761232 1380658 1522464 2070987 2489863 2761316 4141974 4979726 5522632 7469589 8283948 9959452 11045264 14939178 16567896 19918904 22090528 29878356 33135792 39837808 59756712 66271584 69732023 79675616 119513424 139464046 209196069 239026848 278928092 418392138 557856184 836784276 1115712368 1673568552 2231424736 3347137104 6694274208 10947927611 21895855222 32843782833 43791710444 65687565666 87583420888 131375131332 175166841776 262750262664 350333683552 525500525328 1051001050656