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1355411352552 = 2331947228727653
BaseRepresentation
bin10011101110010100110…
…011111110101111101000
311210120112221120211000220
4103232110303332233220
5134201340301240202
62514400053130040
7166632233255235
oct23562463765750
94716487524026
101355411352552
11482910411534
1219a830629920
139aa78cb070a
144986085878c
15253cd8c8abc
hex13b94cfebe8

1355411352552 has 128 divisors (see below), whose sum is σ = 3644487475200. Its totient is φ = 418719414528.

The previous prime is 1355411352527. The next prime is 1355411352553. The reversal of 1355411352552 is 2552531145531.

It is not an unprimeable number, because it can be changed into a prime (1355411352553) 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, 49001158 + ... + 49028810.

It is an arithmetic number, because the mean of its divisors is an integer number (28472558400).

Almost surely, 21355411352552 is an apocalyptic number.

1355411352552 is a gapful number since it is divisible by the number (12) 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 1355411352552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822243737600).

1355411352552 is an abundant number, since it is smaller than the sum of its proper divisors (2289076122648).

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

1355411352552 is a wasteful number, since it uses less digits than its factorization.

1355411352552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30015 (or 30011 counting only the distinct ones).

The product of its digits is 450000, while the sum is 42.

The spelling of 1355411352552 in words is "one trillion, three hundred fifty-five billion, four hundred eleven million, three hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 114 141 152 188 228 282 376 456 564 893 1128 1786 2287 2679 3572 4574 5358 6861 7144 9148 10716 13722 18296 21432 27444 27653 43453 54888 55306 82959 86906 107489 110612 130359 165918 173812 214978 221224 260718 322467 331836 347624 429956 521436 525407 644934 663672 859912 1042872 1050814 1289868 1299691 1576221 2042291 2101628 2579736 2599382 3152442 3899073 4084582 4203256 5198764 6126873 6304884 7798146 8169164 10397528 12253746 12609768 15596292 16338328 24507492 24694129 31192584 49014984 49388258 63242411 74082387 98776516 126484822 148164774 189727233 197553032 252969644 296329548 379454466 505939288 592659096 758908932 1201605809 1517817864 2403211618 2972393317 3604817427 4806423236 5944786634 7209634854 8917179951 9612846472 11889573268 14419269708 17834359902 23779146536 28838539416 35668719804 56475473023 71337439608 112950946046 169426419069 225901892092 338852838138 451803784184 677705676276 1355411352552