Search a number
-
+
29464020364920 = 2335739332251019
BaseRepresentation
bin1101011001100001000000…
…11101111010111001111000
310212022201210020110012121120
412230300200131322321320
512330214303203134140
6142355330055305240
76130463614561341
oct654604035727170
9125281706405546
1029464020364920
11942a691409259
12337a3a897b220
1313595a3140b9b
1473c0cd8d10c8
153616606081d0
hex1acc2077ae78

29464020364920 has 64 divisors (see below), whose sum is σ = 88511671728000. Its totient is φ = 7846440041088.

The previous prime is 29464020364913. The next prime is 29464020364921. The reversal of 29464020364920 is 2946302046492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29464020364921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166036830 + ... + 166214189.

It is an arithmetic number, because the mean of its divisors is an integer number (1382994870750).

Almost surely, 229464020364920 is an apocalyptic number.

29464020364920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29464020364920 is an abundant number, since it is smaller than the sum of its proper divisors (59047651363080).

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

29464020364920 is a wasteful number, since it uses less digits than its factorization.

29464020364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332251772 (or 332251768 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 29464020364920 in words is "twenty-nine trillion, four hundred sixty-four billion, twenty million, three hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 14780 17736 22170 29560 44340 88680 332251019 664502038 996753057 1329004076 1661255095 1993506114 2658008152 3322510190 3987012228 4983765285 6645020380 7974024456 9967530570 13290040760 19935061140 39870122280 245533503041 491067006082 736600509123 982134012164 1227667515205 1473201018246 1964268024328 2455335030410 2946402036492 3683002545615 4910670060820 5892804072984 7366005091230 9821340121640 14732010182460 29464020364920