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15341664640 = 27533172421
BaseRepresentation
bin11100100100110111…
…10011100110000000
31110121012001022110111
432102123303212000
5222404431232030
611014201041104
71052115666151
oct162233634600
943535038414
1015341664640
116562a73795
122b81a86194
1315a6574293
14a57761928
155ebd0362a
hex3926f3980

15341664640 has 64 divisors (see below), whose sum is σ = 36787479120. Its totient is φ = 6118041600.

The previous prime is 15341664629. The next prime is 15341664641. The reversal of 15341664640 is 4646614351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15341664593 and 15341664602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15341664641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175630 + ... + 248050.

Almost surely, 215341664640 is an apocalyptic number.

15341664640 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 15341664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393739560).

15341664640 is an abundant number, since it is smaller than the sum of its proper divisors (21445814480).

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

15341664640 is an equidigital number, since it uses as much as digits as its factorization.

15341664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72771 (or 72759 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 15341664640 in words is "fifteen billion, three hundred forty-one million, six hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 331 640 662 1324 1655 2648 3310 5296 6620 10592 13240 21184 26480 42368 52960 72421 105920 144842 211840 289684 362105 579368 724210 1158736 1448420 2317472 2896840 4634944 5793680 9269888 11587360 23174720 23971351 46349440 47942702 95885404 119856755 191770808 239713510 383541616 479427020 767083232 958854040 1534166464 1917708080 3068332928 3835416160 7670832320 15341664640