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187102894420 = 225138317335003
BaseRepresentation
bin1010111001000000110…
…0111001100101010100
3122212221112002211122101
42232100030321211110
511031141320110140
6221542012211444
716342404235051
oct2562014714524
9585845084571
10187102894420
1172393784962
1230318469b84
131484a365560
1490ad29c028
154d0109999a
hex2b90339954

187102894420 has 96 divisors (see below), whose sum is σ = 428571222912. Its totient is φ = 68198788608.

The previous prime is 187102894397. The next prime is 187102894439. The reversal of 187102894420 is 24498201781.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37395639 + ... + 37400641.

It is an arithmetic number, because the mean of its divisors is an integer number (4464283572).

Almost surely, 2187102894420 is an apocalyptic number.

187102894420 is a gapful number since it is divisible by the number (10) 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 187102894420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214285611456).

187102894420 is an abundant number, since it is smaller than the sum of its proper divisors (241468328492).

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

187102894420 is a wasteful number, since it uses less digits than its factorization.

187102894420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6841 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 187102894420 in words is "one hundred eighty-seven billion, one hundred two million, eight hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 1733 2158 3466 4316 5003 5395 6932 8665 10006 10790 17330 20012 21580 22529 25015 34660 45058 50030 65039 90116 100060 112645 130078 143839 225290 260156 287678 325195 415249 450580 575356 650390 719195 830498 1300780 1438390 1660996 1869907 2076245 2876780 3739814 4152490 5398237 7479628 8304980 8670199 9349535 10796474 17340398 18699070 21592948 26991185 34680796 37398140 43350995 53982370 86701990 107964740 112712587 173403980 225425174 450850348 563562935 719626517 1127125870 1439253034 2254251740 2878506068 3598132585 7196265170 9355144721 14392530340 18710289442 37420578884 46775723605 93551447210 187102894420