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23129300736 = 28333346253
BaseRepresentation
bin10101100010100111…
…010001111100000000
32012200220212012212000
4111202213101330000
5334332100110421
614343033104000
71446110545443
oct254247217400
965626765760
1023129300736
119899983a83
124595b58000
132247ac1589
141195b4965a
15905851226
hex5629d1f00

23129300736 has 72 divisors (see below), whose sum is σ = 68397431760. Its totient is φ = 7709764608.

The previous prime is 23129300693. The next prime is 23129300737. The reversal of 23129300736 is 63700392132.

23129300736 is a `hidden beast` number, since 2 + 312 + 9 + 300 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23129300736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23129300737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666215 + ... + 1680038.

It is an arithmetic number, because the mean of its divisors is an integer number (949964330).

Almost surely, 223129300736 is an apocalyptic number.

It is an amenable number.

23129300736 is an abundant number, since it is smaller than the sum of its proper divisors (45268131024).

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

23129300736 is an equidigital number, since it uses as much as digits as its factorization.

23129300736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346278 (or 3346258 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

Adding to 23129300736 its reverse (63700392132), we get a palindrome (86829692868).

The spelling of 23129300736 in words is "twenty-three billion, one hundred twenty-nine million, three hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 3346253 6692506 10038759 13385012 20077518 26770024 30116277 40155036 53540048 60232554 80310072 90348831 107080096 120465108 160620144 180697662 214160192 240930216 321240288 361395324 428320384 481860432 642480576 722790648 856640768 963720864 1284961152 1445581296 1927441728 2569922304 2891162592 3854883456 5782325184 7709766912 11564650368 23129300736