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472023204032 = 26192961219433
BaseRepresentation
bin1101101111001101100…
…01101000000011000000
31200010101002221020001002
412313212301220003000
530213200420012112
61000502223231132
746050114014462
oct6674661500300
91603332836032
10472023204032
1117220287a616
12775937484a8
1335685c95933
1418bbb794132
15c4299521c2
hex6de6c680c0

472023204032 has 112 divisors (see below), whose sum is σ = 1036693989600. Its totient is φ = 212339957760.

The previous prime is 472023204007. The next prime is 472023204043. The reversal of 472023204032 is 230402320274.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 472023203986 and 472023204004.

It is an unprimeable number.

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, 2041388 + ... + 2260820.

Almost surely, 2472023204032 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 472023204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518346994800).

472023204032 is an abundant number, since it is smaller than the sum of its proper divisors (564670785568).

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

472023204032 is a wasteful number, since it uses less digits than its factorization.

472023204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219554 (or 219544 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The spelling of 472023204032 in words is "four hundred seventy-two billion, twenty-three million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 58 61 64 76 116 122 152 232 244 304 464 488 551 608 928 976 1102 1159 1216 1769 1856 1952 2204 2318 3538 3904 4408 4636 7076 8816 9272 14152 17632 18544 28304 33611 35264 37088 56608 67222 74176 113216 134444 219433 268888 438866 537776 877732 1075552 1755464 2151104 3510928 4169227 6363557 7021856 8338454 12727114 13385413 14043712 16676908 25454228 26770826 33353816 50908456 53541652 66707632 101816912 107083304 120907583 133415264 203633824 214166608 241815166 254322847 266830528 388176977 407267648 428333216 483630332 508645694 776353954 856666432 967260664 1017291388 1552707908 1934521328 2034582776 3105415816 3869042656 4069165552 6210831632 7375362563 7738085312 8138331104 12421663264 14750725126 16276662208 24843326528 29501450252 59002900504 118005801008 236011602016 472023204032