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21402104032 = 25171917311969
BaseRepresentation
bin10011111011101010…
…100011000011100000
32001020112211112101201
4103323222203003200
5322312414312112
613455413210544
71355235611521
oct237352430340
961215745351
1021402104032
119092a25591
124193630a54
132031011caa
1410705c4848
15853dc9257
hex4fbaa30e0

21402104032 has 96 divisors (see below), whose sum is σ = 47237450400. Its totient is φ = 9485549568.

The previous prime is 21402104029. The next prime is 21402104039. The reversal of 21402104032 is 23040120412.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21402104039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782144 + ... + 1794112.

It is an arithmetic number, because the mean of its divisors is an integer number (492056775).

Almost surely, 221402104032 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 21402104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618725200).

21402104032 is an abundant number, since it is smaller than the sum of its proper divisors (25835346368).

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

21402104032 is a wasteful number, since it uses less digits than its factorization.

21402104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12188 (or 12180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21402104032 its reverse (23040120412), we get a palindrome (44442224444).

The spelling of 21402104032 in words is "twenty-one billion, four hundred two million, one hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 173 272 304 323 346 544 608 646 692 1292 1384 2584 2768 2941 3287 5168 5536 5882 6574 10336 11764 11969 13148 23528 23938 26296 47056 47876 52592 55879 94112 95752 105184 111758 191504 203473 223516 227411 383008 406946 447032 454822 813892 894064 909644 1627784 1788128 1819288 2070637 3255568 3638576 3865987 4141274 6511136 7277152 7731974 8282548 15463948 16565096 30927896 33130192 35200829 39342103 61855792 66260384 70401658 78684206 123711584 140803316 157368412 281606632 314736824 563213264 629473648 668815751 1126426528 1258947296 1337631502 2675263004 5350526008 10701052016 21402104032