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1054752828920 = 2357191143313763
BaseRepresentation
bin11110101100101000010…
…10101110110111111000
310201211111112112022200122
433112110022232313320
5114240113211011140
62124314033352412
7136126521055610
oct17262412566770
93654445468618
101054752828920
1137735552472a
12150502708708
137860290526b
143909c097a40
151c6834dbab5
hexf5942aedf8

1054752828920 has 128 divisors (see below), whose sum is σ = 2728522506240. Its totient is φ = 359459036160.

The previous prime is 1054752828917. The next prime is 1054752828949. The reversal of 1054752828920 is 298282574501.

It is a super-2 number, since 2×10547528289202 (a number of 25 digits) contains 22 as substring.

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, 76629959 + ... + 76643721.

It is an arithmetic number, because the mean of its divisors is an integer number (21316582080).

Almost surely, 21054752828920 is an apocalyptic number.

1054752828920 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 1054752828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364261253120).

1054752828920 is an abundant number, since it is smaller than the sum of its proper divisors (1673769677320).

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

1054752828920 is a wasteful number, since it uses less digits than its factorization.

1054752828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15405 (or 15401 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 53.

The spelling of 1054752828920 in words is "one trillion, fifty-four billion, seven hundred fifty-two million, eight hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 191 280 382 764 955 1337 1433 1528 1910 2674 2866 3820 5348 5732 6685 7165 7640 10031 10696 11464 13370 13763 14330 20062 26740 27526 28660 40124 50155 53480 55052 57320 68815 80248 96341 100310 110104 137630 192682 200620 273703 275260 385364 401240 481705 547406 550520 770728 963410 1094812 1368515 1915921 1926820 2189624 2628733 2737030 3831842 3853640 5257466 5474060 7663684 9579605 10514932 10948120 13143665 15327368 18401131 19159210 19722379 21029864 26287330 36802262 38318420 39444758 52574660 73604524 76636840 78889516 92005655 98611895 105149320 138056653 147209048 157779032 184011310 197223790 276113306 368022620 394447580 552226612 690283265 736045240 788895160 1104453224 1380566530 2761133060 3766974389 5522266120 7533948778 15067897556 18834871945 26368820723 30135795112 37669743890 52737641446 75339487780 105475282892 131844103615 150678975560 210950565784 263688207230 527376414460 1054752828920