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1980818172 = 2233171956783
BaseRepresentation
bin111011000010000…
…1110001011111100
312010001020222201000
41312010032023330
513024042140142
6524315450300
7100041451044
oct16604161374
95101228630
101980818172
11927136013
12473456990
132574bc478
1414b104724
15b8d7414c
hex7610e2fc

1980818172 has 96 divisors (see below), whose sum is σ = 5723827200. Its totient is φ = 588715776.

The previous prime is 1980818171. The next prime is 1980818173. The reversal of 1980818172 is 2718180891.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1980818171) and next prime (1980818173).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980818171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6493 + ... + 63275.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 21980818172 is an apocalyptic number.

1980818172 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 1980818172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861913600).

1980818172 is an abundant number, since it is smaller than the sum of its proper divisors (3743009028).

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

1980818172 is a wasteful number, since it uses less digits than its factorization.

1980818172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56832 (or 56824 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 1980818172 is about 44506.3834972018. The cubic root of 1980818172 is about 1255.8801721795.

The spelling of 1980818172 in words is "one billion, nine hundred eighty million, eight hundred eighteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 102 108 114 153 171 204 228 306 323 342 459 513 612 646 684 918 969 1026 1292 1836 1938 2052 2907 3876 5814 8721 11628 17442 34884 56783 113566 170349 227132 340698 511047 681396 965311 1022094 1078877 1533141 1930622 2044188 2157754 2895933 3066282 3236631 3861244 4315508 5791866 6132564 6473262 8687799 9709893 11583732 12946524 17375598 18340909 19419786 26063397 29129679 34751196 36681818 38839572 52126794 55022727 58259358 73363636 104253588 110045454 116518716 165068181 220090908 330136362 495204543 660272724 990409086 1980818172