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1056006266620 = 2252353149290701
BaseRepresentation
bin11110101110111101110…
…00001101111011111100
310201221201220002112222011
433113132320031323330
5114300200101012440
62125042251101004
7136202551110124
oct17273670157374
93657656075864
101056006266620
11377939009a58
121507b2441764
13787724b9786
143917a737c84
151c7085809ea
hexf5dee0defc

1056006266620 has 96 divisors (see below), whose sum is σ = 2373523689600. Its totient is φ = 393751987200.

The previous prime is 1056006266617. The next prime is 1056006266621. The reversal of 1056006266620 is 266626006501.

It is a super-2 number, since 2×10560062666202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056006266621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3487270 + ... + 3777970.

It is an arithmetic number, because the mean of its divisors is an integer number (24724205100).

Almost surely, 21056006266620 is an apocalyptic number.

1056006266620 is a gapful number since it is divisible by the number (10) 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 1056006266620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186761844800).

1056006266620 is an abundant number, since it is smaller than the sum of its proper divisors (1317517422980).

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

1056006266620 is a wasteful number, since it uses less digits than its factorization.

1056006266620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290935 (or 290933 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 1056006266620 in words is "one trillion, fifty-six billion, six million, two hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 149 212 230 265 298 460 530 596 745 1060 1219 1490 2438 2980 3427 4876 6095 6854 7897 12190 13708 15794 17135 24380 31588 34270 39485 68540 78970 157940 181631 290701 363262 581402 726524 908155 1162804 1453505 1816310 2907010 3632620 5814020 6686123 13372246 15407153 26744492 30814306 33430615 43314449 61628612 66861230 77035765 86628898 133722460 154071530 173257796 216572245 308143060 354364519 433144490 708729038 866288980 996232327 1417458076 1771822595 1992464654 2295665797 3543645190 3984929308 4591331594 4981161635 7087290380 9182663188 9962323270 11478328985 19924646540 22956657970 45913315940 52800313331 105600626662 211201253324 264001566655 528003133310 1056006266620