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1103778111672 = 23321737131186049
BaseRepresentation
bin10000000011111110010…
…011010110000010111000
310220112001012020201121200
4100003332103112002320
5121041014144033142
62203022455334200
7142513436101245
oct20037623260270
93815035221550
101103778111672
11396122a72235
12159b05081360
138011674a902
143b5cd17c5cc
151daa24e664c
hex100fe4d60b8

1103778111672 has 192 divisors, whose sum is σ = 3275626068000. Its totient is φ = 334350581760.

The previous prime is 1103778111629. The next prime is 1103778111707. The reversal of 1103778111672 is 2761118773011.

1103778111672 is a `hidden beast` number, since 110 + 377 + 8 + 1 + 1 + 167 + 2 = 666.

It is a super-2 number, since 2×11037781116722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5839704 + ... + 6025752.

Almost surely, 21103778111672 is an apocalyptic number.

1103778111672 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 1103778111672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637813034000).

1103778111672 is an abundant number, since it is smaller than the sum of its proper divisors (2171847956328).

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

1103778111672 is a wasteful number, since it uses less digits than its factorization.

1103778111672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186246 (or 186239 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 1103778111672 in words is "one trillion, one hundred three billion, seven hundred seventy-eight million, one hundred eleven thousand, six hundred seventy-two".