Search a number
-
+
1830111921312 = 25332063594569
BaseRepresentation
bin11010101000011011001…
…010111100010010100000
320110221211122110021000120
4122220123022330102200
5214441032122440222
63520424121520240
7246135610443063
oct32503312742240
96427748407016
101830111921312
11646167517874
12256830943080
1310376a86601c
1464813a2c8da
15329133de15c
hex1aa1b2bc4a0

1830111921312 has 48 divisors (see below), whose sum is σ = 4804201704960. Its totient is φ = 610017254912.

The previous prime is 1830111921269. The next prime is 1830111921331. The reversal of 1830111921312 is 2131291110381.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2780764 + ... + 3375332.

It is an arithmetic number, because the mean of its divisors is an integer number (100087535520).

Almost surely, 21830111921312 is an apocalyptic number.

1830111921312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1830111921312 is an abundant number, since it is smaller than the sum of its proper divisors (2974089783648).

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

1830111921312 is a wasteful number, since it uses less digits than its factorization.

1830111921312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626645 (or 626637 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

It can be divided in two parts, 18301119 and 21312, that added together give a triangular number (18322431 = T6053).

The spelling of 1830111921312 in words is "one trillion, eight hundred thirty billion, one hundred eleven million, nine hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 32063 64126 96189 128252 192378 256504 384756 513008 594569 769512 1026016 1189138 1539024 1783707 2378276 3078048 3567414 4756552 7134828 9513104 14269656 19026208 28539312 57078624 19063665847 38127331694 57190997541 76254663388 114381995082 152509326776 228763990164 305018653552 457527980328 610037307104 915055960656 1830111921312