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1830811988130 = 235312411548871
BaseRepresentation
bin11010101001000100111…
…001011111000010100010
320111000122102202100011020
4122221010321133002202
5214444000332110010
63521021410430310
7246162141063156
oct32510471370242
96430572670136
101830811988130
11646496702394
122569a7292396
1310384c8c9948
146487c9c3066
1532954ac6470
hex1aa44e5f0a2

1830811988130 has 96 divisors (see below), whose sum is σ = 4651002405504. Its totient is φ = 460943712000.

The previous prime is 1830811988119. The next prime is 1830811988237. The reversal of 1830811988130 is 318891180381.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 407595 + ... + 1956465.

It is an arithmetic number, because the mean of its divisors is an integer number (48447941724).

Almost surely, 21830811988130 is an apocalyptic number.

1830811988130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830811988130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325501202752).

1830811988130 is an abundant number, since it is smaller than the sum of its proper divisors (2820190417374).

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

1830811988130 is a wasteful number, since it uses less digits than its factorization.

1830811988130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548984 (or 1548953 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 51.

The spelling of 1830811988130 in words is "one trillion, eight hundred thirty billion, eight hundred eleven million, nine hundred eighty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 41 62 82 93 123 155 186 205 246 310 410 465 615 930 961 1230 1271 1922 2542 2883 3813 4805 5766 6355 7626 9610 12710 14415 19065 28830 38130 39401 78802 118203 197005 236406 394010 591015 1182030 1548871 3097742 4646613 7744355 9293226 15488710 23233065 46466130 48015001 63503711 96030002 127007422 144045003 190511133 240075005 288090006 317518555 381022266 480150010 635037110 720225015 952555665 1440450030 1488465031 1905111330 1968615041 2976930062 3937230082 4465395093 5905845123 7442325155 8930790186 9843075205 11811690246 14884650310 19686150410 22326975465 29529225615 44653950930 59058451230 61027066271 122054132542 183081198813 305135331355 366162397626 610270662710 915405994065 1830811988130