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215729414020 = 225231314098753
BaseRepresentation
bin1100100011101001111…
…0011001111110000100
3202121211112221201010001
43020322132121332010
512013303212222040
6243034342011044
721404655522631
oct3107236317604
9677745851101
10215729414020
11835436a281a
1235987416a84
1317460005953
14a627139188
15592931b59a
hex323a799f84

215729414020 has 96 divisors (see below), whose sum is σ = 477556611840. Its totient is φ = 81700270080.

The previous prime is 215729413883. The next prime is 215729414029. The reversal of 215729414020 is 20414927512.

It is not an unprimeable number, because it can be changed into a prime (215729414029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24641964 + ... + 24650716.

It is an arithmetic number, because the mean of its divisors is an integer number (4974548040).

Almost surely, 2215729414020 is an apocalyptic number.

215729414020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215729414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238778305920).

215729414020 is an abundant number, since it is smaller than the sum of its proper divisors (261827197820).

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

215729414020 is a wasteful number, since it uses less digits than its factorization.

215729414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 215729414020 in words is "two hundred fifteen billion, seven hundred twenty-nine million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 131 230 262 409 460 524 655 818 1310 1636 2045 2620 3013 4090 6026 8180 8753 9407 12052 15065 17506 18814 30130 35012 37628 43765 47035 53579 60260 87530 94070 107158 175060 188140 201319 214316 267895 402638 535790 805276 1006595 1071580 1146643 1232317 2013190 2293286 2464634 3579977 4026380 4586572 4929268 5733215 6161585 7159954 11466430 12323170 14319908 17899885 22932860 24646340 26372789 35799770 52745578 71599540 82339471 105491156 131863945 164678942 263727890 329357884 411697355 468976987 527455780 823394710 937953974 1646789420 1875907948 2344884935 4689769870 9379539740 10786470701 21572941402 43145882804 53932353505 107864707010 215729414020