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1355556342126 = 23783211813967
BaseRepresentation
bin10011101110011101011…
…101000100100101101110
311210120221001102001100010
4103232131131010211232
5134202134410422001
62514422312514050
7166635643536330
oct23563535044556
94716831361303
101355556342126
11482985241328
1219a8710ab926
139aaa0046b6c
1449875bdb450
15253db4b88d6
hex13b9d74496e

1355556342126 has 96 divisors (see below), whose sum is σ = 3139641335808. Its totient is φ = 382215159360.

The previous prime is 1355556342113. The next prime is 1355556342139. The reversal of 1355556342126 is 6212436555531.

It is an interprime number because it is at equal distance from previous prime (1355556342113) and next prime (1355556342139).

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 47 ways as a sum of consecutive naturals, for example, 341706195 + ... + 341710161.

It is an arithmetic number, because the mean of its divisors is an integer number (32704597248).

Almost surely, 21355556342126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355556342126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569820667904).

1355556342126 is an abundant number, since it is smaller than the sum of its proper divisors (1784084993682).

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

1355556342126 is a wasteful number, since it uses less digits than its factorization.

1355556342126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5326 (or 5243 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 1355556342126 in words is "one trillion, three hundred fifty-five billion, five hundred fifty-six million, three hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1162 1181 1743 2362 3486 3543 3967 6889 7086 7934 8267 11901 13778 16534 20667 23802 24801 27769 41334 48223 49602 55538 83307 96446 98023 144669 166614 196046 289338 294069 329261 588138 658522 686161 987783 1372322 1975566 2058483 2304827 4116966 4609654 4685027 6914481 8135909 9370054 13828962 14055081 16271818 24407727 27328663 28110162 32795189 48815454 54657326 56951363 65590378 81985989 98385567 113902726 163971978 170854089 191300641 196771134 341708178 382601282 388857241 573901923 777714482 1147803846 1166571723 2333143446 2722000687 5444001374 8166002061 16332004122 32275151003 64550302006 96825453009 193650906018 225926057021 451852114042 677778171063 1355556342126