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406857220088 = 231143754914243
BaseRepresentation
bin1011110101110101001…
…01000111111111111000
31102220011120122020120012
411322322211013333320
523131220422020323
6510524014121052
741252205211214
oct5727245077770
91386146566505
10406857220088
11147602326340
1266a277b0188
132c49c1a2817
1415998b93944
15a8b390c678
hex5eba947ff8

406857220088 has 64 divisors (see below), whose sum is σ = 851734224000. Its totient is φ = 180597674880.

The previous prime is 406857220079. The next prime is 406857220109. The reversal of 406857220088 is 880022758604.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28558295 + ... + 28572537.

It is an arithmetic number, because the mean of its divisors is an integer number (13308347250).

Almost surely, 2406857220088 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 406857220088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425867112000).

406857220088 is an abundant number, since it is smaller than the sum of its proper divisors (444877003912).

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

406857220088 is a wasteful number, since it uses less digits than its factorization.

406857220088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21852 (or 21848 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 406857220088 in words is "four hundred six billion, eight hundred fifty-seven million, two hundred twenty thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 7549 14243 15098 28486 30196 56972 60392 83039 113944 156673 166078 313346 324607 332156 612449 626692 649214 664312 1224898 1253384 1298428 2449796 2596856 3570677 4899592 6736939 7141354 13473878 14282708 26947756 28565416 53895512 107520407 215040814 430081628 860163256 1182724477 2365448954 4623377501 4730897908 9246755002 9461795816 18493510004 36987020008 50857152511 101714305022 203428610044 406857220088