Search a number
-
+
1869925079040 = 211353112715461
BaseRepresentation
bin11011001101100000001…
…110000101100000000000
320121202121021221020002220
4123031200032011200000
5221114101310012130
63551010504011040
7252045325630164
oct33154016054000
96552537836086
101869925079040
11661037a5a507
122624a2160a80
13107443cba215
146670d480ca4
15339937ba410
hex1b360385800

1869925079040 has 384 divisors, whose sum is σ = 6224303554560. Its totient is φ = 478730649600.

The previous prime is 1869925079027. The next prime is 1869925079123. The reversal of 1869925079040 is 409705299681.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120936910 + ... + 120952370.

It is an arithmetic number, because the mean of its divisors is an integer number (16209123840).

Almost surely, 21869925079040 is an apocalyptic number.

1869925079040 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 1869925079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112151777280).

1869925079040 is an abundant number, since it is smaller than the sum of its proper divisors (4354378475520).

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

1869925079040 is a wasteful number, since it uses less digits than its factorization.

1869925079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15649 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 1869925079040 in words is "one trillion, eight hundred sixty-nine billion, nine hundred twenty-five million, seventy-nine thousand, forty".