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151355233936 = 2419251192
BaseRepresentation
bin1000110011110101111…
…0011001011010010000
3112110200012120112100001
42030331132121122100
54434433414441221
6153310455535344
713635503155414
oct2147536313220
9473605515301
10151355233936
115920a0a14a5
122540068a554
1311371285c2a
14747b76cd44
153e0ca80391
hex233d799690

151355233936 has 45 divisors (see below), whose sum is σ = 309557817891. Its totient is φ = 71680578912.

The previous prime is 151355233907. The next prime is 151355234099. The reversal of 151355233936 is 639332553151.

The square root of 151355233936 is 389044.

It is a perfect power (a square), and thus also a powerful number.

151355233936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 29564785 + ... + 29569903.

Almost surely, 2151355233936 is an apocalyptic number.

151355233936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151355233936 is the 389044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151355233936

151355233936 is an abundant number, since it is smaller than the sum of its proper divisors (158202583955).

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

151355233936 is an frugal number, since it uses more digits than its factorization.

151355233936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 5140 counting only the distinct ones).

The product of its digits is 1093500, while the sum is 46.

The spelling of 151355233936 in words is "one hundred fifty-one billion, three hundred fifty-five million, two hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5119 5776 10238 20476 40952 81904 97261 194522 389044 778088 1556176 1847959 3695918 7391836 14783672 26204161 29567344 52408322 104816644 209633288 419266576 497879059 995758118 1991516236 3983032472 7966064944 9459702121 18919404242 37838808484 75677616968 151355233936