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1608730901640 = 2332535447126067
BaseRepresentation
bin10111011010001111110…
…101010111110010001000
312200210102020000020102200
4113122033311113302020
5202324140102323030
63231012450200200
7224140565020542
oct27321765276210
95623366006380
101608730901640
11570293722085
1221b948883060
13b8919a07a25
1457c12094692
152bca7d57d60
hex1768fd57c88

1608730901640 has 96 divisors (see below), whose sum is σ = 5228564402880. Its totient is φ = 428979401856.

The previous prime is 1608730901633. The next prime is 1608730901647. The reversal of 1608730901640 is 461090378061.

It is a happy number.

1608730901640 is a `hidden beast` number, since 1 + 608 + 7 + 30 + 9 + 0 + 1 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1608730901633) and next prime (1608730901647).

It is a super-2 number, since 2×16087309016402 (a number of 25 digits) contains 22 as substring.

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 (1608730901647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12697887 + ... + 12823953.

It is an arithmetic number, because the mean of its divisors is an integer number (54464212530).

Almost surely, 21608730901640 is an apocalyptic number.

1608730901640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1608730901640 is an abundant number, since it is smaller than the sum of its proper divisors (3619833501240).

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

1608730901640 is a wasteful number, since it uses less digits than its factorization.

1608730901640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161531 (or 161524 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1608730901640 in words is "one trillion, six hundred eight billion, seven hundred thirty million, nine hundred one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 35447 70894 106341 126067 141788 177235 212682 252134 283576 319023 354470 378201 425364 504268 531705 630335 638046 708940 756402 850728 1008536 1063410 1134603 1260670 1276092 1417880 1512804 1595115 1891005 2126820 2269206 2521340 2552184 3025608 3190230 3782010 4253640 4538412 5042680 5673015 6380460 7564020 9076824 11346030 12760920 15128040 22692060 45384120 4468696949 8937393898 13406090847 17874787796 22343484745 26812181694 35749575592 40218272541 44686969490 53624363388 67030454235 80436545082 89373938980 107248726776 134060908470 160873090164 178747877960 201091362705 268121816940 321746180328 402182725410 536243633880 804365450820 1608730901640