Search a number
-
+
23542616211072 = 2737259139152567
BaseRepresentation
bin1010101101001011100010…
…10001101011111010000000
310002100122121101212022202020
411112211301101223322000
511041210234222223242
6122023154550121440
74646616655665600
oct526456121537200
9102318541768666
1023542616211072
117557405107362
122782872650280
13101a0a004183a
145b567c1a6c00
152ac5e67286ec
hex15697146be80

23542616211072 has 384 divisors, whose sum is σ = 74510549568000. Its totient is φ = 6564839307264.

The previous prime is 23542616211067. The next prime is 23542616211113. The reversal of 23542616211072 is 27011261624532.

It is a happy number.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154233733 + ... + 154386299.

It is an arithmetic number, because the mean of its divisors is an integer number (194037889500).

Almost surely, 223542616211072 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 23542616211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255274784000).

23542616211072 is an abundant number, since it is smaller than the sum of its proper divisors (50967933356928).

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

23542616211072 is a wasteful number, since it uses less digits than its factorization.

23542616211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152796 (or 152777 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 23542616211072 in words is "twenty-three trillion, five hundred forty-two billion, six hundred sixteen million, two hundred eleven thousand, seventy-two".