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2046929686352 = 242918125197103
BaseRepresentation
bin11101110010010110100…
…001000100111101010000
321020200111001022221001122
4131302112201010331100
5232014102444430402
64204202503021412
7300612553154045
oct35622641047520
97220431287048
102046929686352
1171a109498841
1229086073a868
1311b0421a1355
14711015131cc
15383a303eca2
hex1dc96844f50

2046929686352 has 80 divisors (see below), whose sum is σ = 4141827406080. Its totient is φ = 978788160000.

The previous prime is 2046929686349. The next prime is 2046929686357. The reversal of 2046929686352 is 2536869296402.

It is a super-2 number, since 2×20469296863522 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2046929686357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21031433 + ... + 21128535.

It is an arithmetic number, because the mean of its divisors is an integer number (51772842576).

Almost surely, 22046929686352 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 2046929686352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070913703040).

2046929686352 is an abundant number, since it is smaller than the sum of its proper divisors (2094897719728).

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

2046929686352 is a wasteful number, since it uses less digits than its factorization.

2046929686352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97572 (or 97566 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 62.

The spelling of 2046929686352 in words is "two trillion, forty-six billion, nine hundred twenty-nine million, six hundred eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 58 116 181 232 251 362 464 502 724 1004 1448 2008 2896 4016 5249 7279 10498 14558 20996 29116 41992 45431 58232 83984 90862 97103 116464 181724 194206 363448 388412 726896 776824 1317499 1553648 2634998 2815987 5269996 5631974 10539992 11263948 17575643 21079984 22527896 24372853 35151286 45055792 48745706 70302572 97491412 140605144 194982824 281210288 389965648 509693647 706812737 1019387294 1413625474 2038774588 2827250948 4077549176 4411486393 5654501896 8155098352 8822972786 11309003792 17645945572 35291891144 70583782288 127933105397 255866210794 511732421588 1023464843176 2046929686352