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406269996984 = 2332409106113003
BaseRepresentation
bin1011110100101111001…
…01000010111110111000
31102211122122200012220100
411322113211002332320
523124020104400414
6510345435555400
741231514665415
oct5722745027670
91384578605810
10406269996984
11147330904995
12668a2bbbb60
132c40762b727
1415940bb510c
15a87c0b5609
hex5e97942fb8

406269996984 has 96 divisors (see below), whose sum is σ = 1104129327600. Its totient is φ = 134954519040.

The previous prime is 406269996941. The next prime is 406269997031. The reversal of 406269996984 is 489699962604.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31237827 + ... + 31250829.

Almost surely, 2406269996984 is an apocalyptic number.

It is an amenable number.

406269996984 is an abundant number, since it is smaller than the sum of its proper divisors (697859330616).

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

406269996984 is a wasteful number, since it uses less digits than its factorization.

406269996984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14485 (or 14478 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 406269996984 in words is "four hundred six billion, two hundred sixty-nine million, nine hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1061 1227 1636 2122 2454 3183 3272 3681 4244 4908 6366 7362 8488 9549 9816 12732 13003 14724 19098 25464 26006 29448 38196 39009 52012 76392 78018 104024 117027 156036 234054 312072 433949 468108 867898 936216 1301847 1735796 2603694 3471592 3905541 5207388 5318227 7811082 10414776 10636454 13796183 15622164 15954681 21272908 27592366 31244328 31909362 41388549 42545816 47864043 55184732 63818724 82777098 95728086 110369464 124165647 127637448 165554196 191456172 248331294 331108392 382912344 496662588 993325176 5642638847 11285277694 16927916541 22570555388 33855833082 45141110776 50783749623 67711666164 101567499246 135423332328 203134998492 406269996984