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23434506501 = 3719237334981
BaseRepresentation
bin10101110100110011…
…100011000100000101
32020111012011021110020
4111310303203010011
5340443213202001
614433214445353
71456505006250
oct256463430405
966435137406
1023434506501
119a3619364a
124660203859
1322960c29c3
1411c44b6097
1592253c736
hex574ce3105

23434506501 has 64 divisors (see below), whose sum is σ = 39761940480. Its totient is φ = 11968197120.

The previous prime is 23434506497. The next prime is 23434506503. The reversal of 23434506501 is 10560543432.

It is not a de Polignac number, because 23434506501 - 22 = 23434506497 is a prime.

It is a super-2 number, since 2×234345065012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434506503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652431 + ... + 687411.

It is an arithmetic number, because the mean of its divisors is an integer number (621280320).

Almost surely, 223434506501 is an apocalyptic number.

23434506501 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23434506501 is a deficient number, since it is larger than the sum of its proper divisors (16327433979).

23434506501 is a wasteful number, since it uses less digits than its factorization.

23434506501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35106.

The product of its (nonzero) digits is 43200, while the sum is 33.

It can be divided in two parts, 23434 and 506501, that added together give a triangular number (529935 = T1029).

The spelling of 23434506501 in words is "twenty-three billion, four hundred thirty-four million, five hundred six thousand, five hundred one".

Divisors: 1 3 7 19 21 23 57 69 73 133 161 219 399 437 483 511 1311 1387 1533 1679 3059 4161 5037 9177 9709 11753 29127 31901 34981 35259 95703 104943 223307 244867 664639 669921 734601 804563 1993917 2413689 2553613 4652473 5631941 7660839 13957419 15286697 16895823 17875291 45860091 48518647 53625873 58733099 107006879 145555941 176199297 321020637 339630529 411131693 1018891587 1115928881 1233395079 3347786643 7811502167 23434506501