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187020016974 = 232711346128493
BaseRepresentation
bin1010111000101101000…
…0101111110101001110
3122212201202011020011100
42232023100233311032
511031004111020344
6221525452003530
716340346625620
oct2561320576516
9585652136140
10187020016974
1172350a188aa
12302b47605a6
131483613854b
1490a2286c10
154ce8b78569
hex2b8b42fd4e

187020016974 has 96 divisors (see below), whose sum is σ = 468225261504. Its totient is φ = 52844682240.

The previous prime is 187020016969. The next prime is 187020017017. The reversal of 187020016974 is 479610020781.

It is a happy number.

187020016974 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 6549472 + ... + 6577964.

It is an arithmetic number, because the mean of its divisors is an integer number (4877346474).

Almost surely, 2187020016974 is an apocalyptic number.

187020016974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 187020016974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234112630752).

187020016974 is an abundant number, since it is smaller than the sum of its proper divisors (281205244530).

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

187020016974 is a wasteful number, since it uses less digits than its factorization.

187020016974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29082 (or 29079 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 187020016974 in words is "one hundred eighty-seven billion, twenty million, sixteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 461 678 791 922 1017 1383 1582 2034 2373 2766 3227 4149 4746 6454 7119 8298 9681 14238 19362 28493 29043 52093 56986 58086 85479 104186 156279 170958 199451 256437 312558 364651 398902 468837 512874 598353 729302 937674 1093953 1196706 1795059 2187906 3219709 3281859 3590118 6439418 6563718 9659127 13135273 19318254 22537963 26270546 28977381 39405819 45075926 57954762 67613889 78811638 91946911 118217457 135227778 183893822 202841667 236434914 275840733 405683334 551681466 827522199 1484285849 1655044398 2968571698 4452857547 8905715094 10390000943 13358572641 20780001886 26717145282 31170002829 62340005658 93510008487 187020016974