Search a number
-
+
153365003345344 = 267248904656679
BaseRepresentation
bin100010110111110000010010…
…100010111001110111000000
3202010000112212202221011212211
4202313300102202321313000
5130100213011324022334
61302102524312031504
744206153516230400
oct4267602242716700
9663015782834784
10153365003345344
114495980719774a
121524b1b9392594
1367763473b506b
1429c2c975da800
1512ae597e4ca64
hex8b7c128b9dc0

153365003345344 has 42 divisors (see below), whose sum is σ = 354020809706520. Its totient is φ = 65727858575232.

The previous prime is 153365003345341. The next prime is 153365003345383. The reversal of 153365003345344 is 443543300563351.

It is a super-2 number, since 2×1533650033453442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153365003345341) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24452325204 + ... + 24452331475.

Almost surely, 2153365003345344 is an apocalyptic number.

153365003345344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

153365003345344 is an abundant number, since it is smaller than the sum of its proper divisors (200655806361176).

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

153365003345344 is an equidigital number, since it uses as much as digits as its factorization.

153365003345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48904656705 (or 48904656688 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 49.

The spelling of 153365003345344 in words is "one hundred fifty-three trillion, three hundred sixty-five billion, three million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 48904656679 97809313358 195618626716 342332596753 391237253432 684665193506 782474506864 1369330387012 1564949013728 2396328177271 2738660774024 3129898027456 4792656354542 5477321548048 9585312709084 10954643096096 19170625418168 21909286192192 38341250836336 76682501672672 153365003345344