Search a number
-
+
14553700704 = 2533137122953
BaseRepresentation
bin11011000110111011…
…11101100101100000
31101120021100121011000
431203131331211200
5214301221410304
610404052152000
71023440262204
oct154335754540
941507317130
1014553700704
116199203824
1229a2008600
1314ac24692a
149c0c4ab04
155a2a57939
hex36377d960

14553700704 has 96 divisors (see below), whose sum is σ = 42758483040. Its totient is φ = 4815783936.

The previous prime is 14553700673. The next prime is 14553700709. The reversal of 14553700704 is 40700735541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145537007042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14553700709) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56892 + ... + 179844.

It is an arithmetic number, because the mean of its divisors is an integer number (445400865).

Almost surely, 214553700704 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 14553700704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379241520).

14553700704 is an abundant number, since it is smaller than the sum of its proper divisors (28204782336).

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

14553700704 is a wasteful number, since it uses less digits than its factorization.

14553700704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123109 (or 123095 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 14553700704 in words is "fourteen billion, five hundred fifty-three million, seven hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 137 144 216 274 288 411 432 548 822 864 1096 1233 1644 2192 2466 3288 3699 4384 4932 6576 7398 9864 13152 14796 19728 29592 39456 59184 118368 122953 245906 368859 491812 737718 983624 1106577 1475436 1967248 2213154 2950872 3319731 3934496 4426308 5901744 6639462 8852616 11803488 13278924 16844561 17705232 26557848 33689122 35410464 50533683 53115696 67378244 101067366 106231392 134756488 151601049 202134732 269512976 303202098 404269464 454803147 539025952 606404196 808538928 909606294 1212808392 1617077856 1819212588 2425616784 3638425176 4851233568 7276850352 14553700704