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21402104624 = 2423594632129
BaseRepresentation
bin10011111011101010…
…100011001100110000
32001020112211120012122
4103323222203030300
5322312414321444
613455413213412
71355235613325
oct237352431460
961215746178
1021402104624
119092a25a7a
124193631268
132031012344
1410705c4b4c
15853dc94ee
hex4fbaa3330

21402104624 has 80 divisors (see below), whose sum is σ = 44118604800. Its totient is φ = 10035852288.

The previous prime is 21402104611. The next prime is 21402104639. The reversal of 21402104624 is 42640120412.

It is a junction number, because it is equal to n+sod(n) for n = 21402104593 and 21402104602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10051592 + ... + 10053720.

It is an arithmetic number, because the mean of its divisors is an integer number (551482560).

Almost surely, 221402104624 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 21402104624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22059302400).

21402104624 is an abundant number, since it is smaller than the sum of its proper divisors (22716500176).

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

21402104624 is a wasteful number, since it uses less digits than its factorization.

21402104624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The spelling of 21402104624 in words is "twenty-one billion, four hundred two million, one hundred four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 463 472 926 944 1357 1852 2129 2714 3704 4258 5428 7408 8516 10649 10856 17032 21298 21712 27317 34064 42596 48967 54634 85192 97934 109268 125611 170384 195868 218536 251222 391736 437072 502444 628291 783472 985727 1004888 1256582 1971454 2009776 2513164 2889053 3942908 5026328 5778106 7885816 10052656 11556212 15771632 22671721 23112424 45343442 46224848 58157893 90686884 116315786 181373768 232631572 362747536 465263144 930526288 1337631539 2675263078 5350526156 10701052312 21402104624