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151641464 = 231329137367
BaseRepresentation
bin10010000100111…
…01110101111000
3101120100011222112
421002131311320
5302310011324
623014111452
73520634252
oct1102356570
9346304875
10151641464
1178663527
124294b588
13255550a0
14161d4cd2
15d4a5c0e
hex909dd78

151641464 has 64 divisors (see below), whose sum is σ = 319939200. Its totient is φ = 66898944.

The previous prime is 151641463. The next prime is 151641467. The reversal of 151641464 is 464146151.

151641464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151641464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151641463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413009 + ... + 413375.

It is an arithmetic number, because the mean of its divisors is an integer number (4999050).

Almost surely, 2151641464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159969600).

151641464 is an abundant number, since it is smaller than the sum of its proper divisors (168297736).

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

151641464 is a wasteful number, since it uses less digits than its factorization.

151641464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 151641464 is about 12314.2788664217. The cubic root of 151641464 is about 533.2603862036.

The spelling of 151641464 in words is "one hundred fifty-one million, six hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 137 232 274 367 377 548 734 754 1096 1468 1508 1781 2936 3016 3562 3973 4771 7124 7946 9542 10643 14248 15892 19084 21286 31784 38168 42572 50279 51649 85144 100558 103298 138359 201116 206596 276718 402232 413192 553436 653627 1106872 1307254 1458091 2614508 2916182 5229016 5832364 11664728 18955183 37910366 75820732 151641464