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400476464050 = 252131429431153
BaseRepresentation
bin1011101001111100100…
…00011110001110110010
31102021200220010020210111
411310332100132032302
523030133433322200
6503550520251534
740635115531015
oct5647620361662
91367626106714
10400476464050
11144928583943
1265746910baa
132b9c3272730
141555158d37c
15a63d6630ba
hex5d3e41e3b2

400476464050 has 48 divisors (see below), whose sum is σ = 802748386440. Its totient is φ = 147764413440.

The previous prime is 400476464023. The next prime is 400476464081. The reversal of 400476464050 is 50464674004.

It can be written as a sum of positive squares in 12 ways, for example, as 95043001 + 400381421049 = 9749^2 + 632757^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400476463994 and 400476464012.

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, 713274 + ... + 1144426.

Almost surely, 2400476464050 is an apocalyptic number.

400476464050 is an abundant number, since it is smaller than the sum of its proper divisors (402271922390).

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

400476464050 is a wasteful number, since it uses less digits than its factorization.

400476464050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432607 (or 432602 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 400476464050 in words is "four hundred billion, four hundred seventy-six million, four hundred sixty-four thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 1429 2858 7145 14290 18577 35725 37154 71450 92885 185770 431153 464425 862306 928850 2155765 4311530 5604989 10778825 11209978 21557650 28024945 56049890 140124725 280249450 616117637 1232235274 3080588185 6161176370 8009529281 15402940925 16019058562 30805881850 40047646405 80095292810 200238232025 400476464050