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1557251278144 = 262910312776379
BaseRepresentation
bin10110101010010011011…
…010001100010101000000
312111212112112000101221121
4112222103122030111000
5201003222311400034
63151220311202024
7220336065314632
oct26522332142500
95455475011847
101557251278144
11550476826aa1
12211980376314
13b3b0455b653
145552b046a52
152a7936411b4
hex16a9368c540

1557251278144 has 112 divisors (see below), whose sum is σ = 3230798313600. Its totient is φ = 743778072576.

The previous prime is 1557251278139. The next prime is 1557251278181. The reversal of 1557251278144 is 4418721527551.

It is a happy number.

It is a super-2 number, since 2×15572512781442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1557251278091 and 1557251278100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244118347 + ... + 244124725.

Almost surely, 21557251278144 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 1557251278144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615399156800).

1557251278144 is an abundant number, since it is smaller than the sum of its proper divisors (1673547035456).

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

1557251278144 is a wasteful number, since it uses less digits than its factorization.

1557251278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7800 (or 7790 counting only the distinct ones).

The product of its digits is 3136000, while the sum is 52.

The spelling of 1557251278144 in words is "one trillion, five hundred fifty-seven billion, two hundred fifty-one million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 103 116 206 232 412 464 824 928 1277 1648 1856 2554 2987 3296 5108 5974 6379 6592 10216 11948 12758 20432 23896 25516 37033 40864 47792 51032 74066 81728 95584 102064 131531 148132 184991 191168 204128 263062 296264 369982 408256 526124 592528 657037 739964 1052248 1185056 1314074 1479928 2104496 2370112 2628148 2959856 3814399 4208992 5256296 5919712 7628798 8145983 8417984 10512592 11839424 15257596 16291966 19054073 21025184 30515192 32583932 38108146 42050368 61030384 65167864 76216292 122060768 130335728 152432584 236233507 244121536 260671456 304865168 472467014 521342912 609730336 839036249 944934028 1219460672 1678072498 1889868056 3356144996 3779736112 6712289992 7559472224 13424579984 15118944448 24332051221 26849159968 48664102442 53698319936 97328204884 194656409768 389312819536 778625639072 1557251278144