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1054025345352 = 233731375469887
BaseRepresentation
bin11110101011010001100…
…11100110100101001000
310201202121211122022211210
433111220303212211020
5114232120442022402
62124113525053120
7136102505416350
oct17255063464510
93652554568753
101054025345352
11377011913541
1215033ab571a0
1378517c92405
143902d607b60
151c63e6db06c
hexf568ce6948

1054025345352 has 128 divisors (see below), whose sum is σ = 3192664227840. Its totient is φ = 283558890240.

The previous prime is 1054025345339. The next prime is 1054025345369. The reversal of 1054025345352 is 2535435204501.

1054025345352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540253453522 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054025345352.

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, 2542248 + ... + 2927639.

It is an arithmetic number, because the mean of its divisors is an integer number (24942689280).

Almost surely, 21054025345352 is an apocalyptic number.

1054025345352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1054025345352 is an abundant number, since it is smaller than the sum of its proper divisors (2138638882488).

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

1054025345352 is a wasteful number, since it uses less digits than its factorization.

1054025345352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469971 (or 5469967 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 1054025345352 in words is "one trillion, fifty-four billion, twenty-five million, three hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 37 42 56 62 74 84 93 111 124 148 168 186 217 222 248 259 296 372 434 444 518 651 744 777 868 888 1036 1147 1302 1554 1736 2072 2294 2604 3108 3441 4588 5208 6216 6882 8029 9176 13764 16058 24087 27528 32116 48174 64232 96348 192696 5469887 10939774 16409661 21879548 32819322 38289209 43759096 65638644 76578418 114867627 131277288 153156836 169566497 202385819 229735254 306313672 339132994 404771638 459470508 508699491 607157457 678265988 809543276 918941016 1017398982 1186965479 1214314914 1356531976 1416700733 1619086552 2034797964 2373930958 2428629828 2833401466 3560896437 4069595928 4250102199 4747861916 4857259656 5666802932 6273960389 7121792874 8500204398 9495723832 11333605864 12547920778 14243585748 17000408796 18821881167 25095841556 28487171496 34000817592 37643762334 43917722723 50191683112 75287524668 87835445446 131753168169 150575049336 175670890892 263506336338 351341781784 527012672676 1054025345352