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1134516513774 = 237532677190387
BaseRepresentation
bin10000100000100110011…
…101000010101111101110
311000110101101222100020210
4100200212131002233232
5122041442211420044
62225104550123250
7144652243153020
oct20404635025756
94013341870223
101134516513774
113a8166aa4736
12163a63350526
1382ca4aa9517
143cca76ba010
151e7a0d7b1b9
hex10826742bee

1134516513774 has 64 divisors (see below), whose sum is σ = 2643109387776. Its totient is φ = 317911112064.

The previous prime is 1134516513773. The next prime is 1134516513787. The reversal of 1134516513774 is 4773156154311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134516513773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5863809 + ... + 6054195.

It is an arithmetic number, because the mean of its divisors is an integer number (41298584184).

Almost surely, 21134516513774 is an apocalyptic number.

1134516513774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1134516513774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321554693888).

1134516513774 is an abundant number, since it is smaller than the sum of its proper divisors (1508592874002).

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

1134516513774 is a wasteful number, since it uses less digits than its factorization.

1134516513774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193129.

The product of its digits is 1058400, while the sum is 48.

The spelling of 1134516513774 in words is "one trillion, one hundred thirty-four billion, five hundred sixteen million, five hundred thirteen thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 2677 5354 8031 16062 18739 37478 56217 112434 141881 190387 283762 380774 425643 571161 851286 993167 1142322 1332709 1986334 2665418 2979501 3998127 5959002 7996254 10090511 20181022 30271533 60543066 70633577 141267154 211900731 423801462 509665999 1019331998 1528997997 3057995994 3567661993 7135323986 10702985979 21405971958 27012297947 54024595894 81036893841 162073787682 189086085629 378172171258 567258256887 1134516513774