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156916241640 = 233251922940971
BaseRepresentation
bin1001001000100011101…
…1111101010011101000
3120000000202120222210100
42102020323331103220
510032331024213030
6200030351345400
714223350022024
oct2221073752350
9500022528710
10156916241640
1160603144934
12264b2b22260
1311a4940a432
147848147384
154135da1360
hex2488efd4e8

156916241640 has 96 divisors (see below), whose sum is σ = 536818744800. Its totient is φ = 39641996160.

The previous prime is 156916241639. The next prime is 156916241641. The reversal of 156916241640 is 46142619651.

156916241640 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 1 + 624 + 16 + 4 + 0 = 666.

156916241640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156916241639) and next prime (156916241641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (156916241641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11463646 + ... + 11477325.

It is an arithmetic number, because the mean of its divisors is an integer number (5591861925).

Almost surely, 2156916241640 is an apocalyptic number.

156916241640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156916241640 is an abundant number, since it is smaller than the sum of its proper divisors (379902503160).

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

156916241640 is a wasteful number, since it uses less digits than its factorization.

156916241640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22941007 (or 22941000 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 156916241640 in words is "one hundred fifty-six billion, nine hundred sixteen million, two hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 22940971 45881942 68822913 91763884 114704855 137645826 183527768 206468739 229409710 275291652 344114565 412937478 435878449 458819420 550583304 688229130 825874956 871756898 917638840 1032343695 1307635347 1376458260 1651749912 1743513796 2064687390 2179392245 2615270694 2752916520 3487027592 3922906041 4129374780 4358784490 5230541388 6538176735 7845812082 8258749560 8717568980 10461082776 13076353470 15691624164 17435137960 19614530205 26152706940 31383248328 39229060410 52305413880 78458120820 156916241640