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400460420664 = 233311316406933
BaseRepresentation
bin1011101001111010100…
…11010001011000111000
31102021122202221011102000
411310331103101120320
523030120331430124
6503545144341000
740634532261213
oct5647523213070
91367582834360
10400460420664
1114491a516247
1265741474760
132b9bcb461c5
141554d3b477a
15a63c0446c9
hex5d3d4d1638

400460420664 has 64 divisors (see below), whose sum is σ = 1122234285600. Its totient is φ = 132305499648.

The previous prime is 400460420639. The next prime is 400460420699. The reversal of 400460420664 is 466024064004.

It is a happy number.

400460420664 is a `hidden beast` number, since 40 + 0 + 4 + 604 + 2 + 0 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8179059 + ... + 8227874.

Almost surely, 2400460420664 is an apocalyptic number.

It is an amenable number.

400460420664 is an abundant number, since it is smaller than the sum of its proper divisors (721773864936).

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

400460420664 is a wasteful number, since it uses less digits than its factorization.

400460420664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16407061 (or 16407051 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 400460420664 its reverse (466024064004), we get a palindrome (866484484668).

The spelling of 400460420664 in words is "four hundred billion, four hundred sixty million, four hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 2034 2712 3051 4068 6102 8136 12204 24408 16406933 32813866 49220799 65627732 98441598 131255464 147662397 196883196 295324794 393766392 442987191 590649588 885974382 1181299176 1771948764 1853983429 3543897528 3707966858 5561950287 7415933716 11123900574 14831867432 16685850861 22247801148 33371701722 44495602296 50057552583 66743403444 100115105166 133486806888 200230210332 400460420664