Search a number
-
+
161626759830 = 23351937384467
BaseRepresentation
bin1001011010000110110…
…1001010001010010110
3120110012001021002222000
42112201231022022112
510122002422303310
6202130022220130
714451155535144
oct2264155121226
9513161232860
10161626759830
1162600101978
12273a8584646
131231a2b18c3
147b739b2594
15430e6c54c0
hex25a1b4a296

161626759830 has 128 divisors (see below), whose sum is σ = 454910860800. Its totient is φ = 40722072192.

The previous prime is 161626759807. The next prime is 161626759841. The reversal of 161626759830 is 38957626161.

161626759830 is a `hidden beast` number, since 1 + 6 + 1 + 626 + 7 + 5 + 9 + 8 + 3 + 0 = 666.

It is a super-2 number, since 2×1616267598302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 1871257 + ... + 1955723.

It is an arithmetic number, because the mean of its divisors is an integer number (3553991100).

Almost surely, 2161626759830 is an apocalyptic number.

161626759830 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 161626759830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227455430400).

161626759830 is an abundant number, since it is smaller than the sum of its proper divisors (293284100970).

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

161626759830 is a wasteful number, since it uses less digits than its factorization.

161626759830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84875 (or 84869 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 161626759830 in words is "one hundred sixty-one billion, six hundred twenty-six million, seven hundred fifty-nine thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 373 513 570 746 855 1026 1119 1710 1865 2238 2565 3357 3730 5130 5595 6714 7087 10071 11190 14174 16785 20142 21261 33570 35435 42522 50355 63783 70870 84467 100710 106305 127566 168934 191349 212610 253401 318915 382698 422335 506802 637830 760203 844670 956745 1267005 1520406 1604873 1913490 2280609 2534010 3209746 3801015 4561218 4814619 7602030 8024365 9629238 11403045 14443857 16048730 22806090 24073095 28887714 31506191 43331571 48146190 63012382 72219285 86663142 94518573 144438570 157530955 189037146 216657855 283555719 315061910 433315710 472592865 567111438 598617629 850667157 945185730 1197235258 1417778595 1701334314 1795852887 2835557190 2993088145 3591705774 4253335785 5387558661 5986176290 8506671570 8979264435 10775117322 16162675983 17958528870 26937793305 32325351966 53875586610 80813379915 161626759830