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1125786067032 = 2331129180181647
BaseRepresentation
bin10000011000011110000…
…101000010000001011000
310222121211222002200210110
4100120132011002001120
5121421102213121112
62221102354244320
7144223012452354
oct20303605020130
93877758080713
101125786067032
113a44969818a0
121622275866a0
13822131268c3
143c6b9dd0464
151e43e69713c
hex1061e142058

1125786067032 has 128 divisors (see below), whose sum is σ = 3178001433600. Its totient is φ = 329196672000.

The previous prime is 1125786067013. The next prime is 1125786067039. The reversal of 1125786067032 is 2307606875211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125786067039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13747633 + ... + 13829279.

It is an arithmetic number, because the mean of its divisors is an integer number (24828136200).

Almost surely, 21125786067032 is an apocalyptic number.

1125786067032 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 1125786067032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589000716800).

1125786067032 is an abundant number, since it is smaller than the sum of its proper divisors (2052215366568).

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

1125786067032 is a wasteful number, since it uses less digits than its factorization.

1125786067032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83497 (or 83493 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 1125786067032 in words is "one trillion, one hundred twenty-five billion, seven hundred eighty-six million, sixty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1801 1914 2552 3602 3828 5403 7204 7656 10806 14408 19811 21612 39622 43224 52229 59433 79244 81647 104458 118866 156687 158488 163294 208916 237732 244941 313374 326588 417832 475464 489882 574519 626748 653176 898117 979764 1149038 1253496 1723557 1796234 1959528 2298076 2367763 2694351 3447114 3592468 4596152 4735526 5388702 6894228 7103289 7184936 9471052 10777404 13788456 14206578 18942104 21554808 26045393 28413156 52090786 56826312 78136179 104181572 147046247 156272358 208363144 294092494 312544716 441138741 588184988 625089432 882277482 1176369976 1617508717 1764554964 3235017434 3529109928 4264341163 4852526151 6470034868 8528682326 9705052302 12793023489 12940069736 17057364652 19410104604 25586046978 34114729304 38820209208 46907752793 51172093956 93815505586 102344187912 140723258379 187631011172 281446516758 375262022344 562893033516 1125786067032