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158196364400 = 24522325168507
BaseRepresentation
bin1001001101010100111…
…1001111010001110000
3120010022222100222002102
42103111033033101300
510042441232130100
6200401401035532
714300152624244
oct2232517172160
9503288328072
10158196364400
11610aa7a6028
12267ab785ba8
1311bc16a5b19
14792a172424
1541ad466cd5
hex24d53cf470

158196364400 has 120 divisors (see below), whose sum is σ = 398177265024. Its totient is φ = 60285280000.

The previous prime is 158196364397. The next prime is 158196364463. The reversal of 158196364400 is 4463691851.

158196364400 is digitally balanced in base 2, 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 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, 2274947 + ... + 2343453.

Almost surely, 2158196364400 is an apocalyptic number.

158196364400 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 158196364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199088632512).

158196364400 is an abundant number, since it is smaller than the sum of its proper divisors (239980900624).

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

158196364400 is a wasteful number, since it uses less digits than its factorization.

158196364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68799 (or 68788 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 158196364400 in words is "one hundred fifty-eight billion, one hundred ninety-six million, three hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 251 368 400 460 502 575 920 1004 1150 1255 1840 2008 2300 2510 4016 4600 5020 5773 6275 9200 10040 11546 12550 20080 23092 25100 28865 46184 50200 57730 68507 92368 100400 115460 137014 144325 230920 274028 288650 342535 461840 548056 577300 685070 1096112 1154600 1370140 1575661 1712675 2309200 2740280 3151322 3425350 5480560 6302644 6850700 7878305 12605288 13701400 15756610 17195257 25210576 27402800 31513220 34390514 39391525 63026440 68781028 78783050 85976285 126052880 137562056 157566100 171952570 275124112 315132200 343905140 395490911 429881425 630264400 687810280 790981822 859762850 1375620560 1581963644 1719525700 1977454555 3163927288 3439051400 3954909110 6327854576 6878102800 7909818220 9887272775 15819636440 19774545550 31639272880 39549091100 79098182200 158196364400