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213806954040 = 23352816340657
BaseRepresentation
bin1100011100011111100…
…0110011011000111000
3202102212120111121210120
43013013320303120320
512000334040012130
6242115505013240
721306223060221
oct3070770633070
9672776447716
10213806954040
11827474a7119
123552b624220
131721493a074
14a4c3aa6248
155865673910
hex31c7e33638

213806954040 has 64 divisors (see below), whose sum is σ = 643703600160. Its totient is φ = 56812277760.

The previous prime is 213806953991. The next prime is 213806954041. The reversal of 213806954040 is 40459608312.

It is a junction number, because it is equal to n+sod(n) for n = 213806953983 and 213806954001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213806954041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136609 + ... + 3204048.

Almost surely, 2213806954040 is an apocalyptic number.

213806954040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213806954040 is an abundant number, since it is smaller than the sum of its proper divisors (429896646120).

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

213806954040 is a wasteful number, since it uses less digits than its factorization.

213806954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340952 (or 6340948 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 213806954040 in words is "two hundred thirteen billion, eight hundred six million, nine hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1686 2248 2810 3372 4215 5620 6744 8430 11240 16860 33720 6340657 12681314 19021971 25362628 31703285 38043942 50725256 63406570 76087884 95109855 126813140 152175768 190219710 253626280 380439420 760878840 1781724617 3563449234 5345173851 7126898468 8908623085 10690347702 14253796936 17817246170 21380695404 26725869255 35634492340 42761390808 53451738510 71268984680 106903477020 213806954040