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40672605025 = 5213472181313
BaseRepresentation
bin100101111000010001…
…101011001101100001
310212222112200102010201
4211320101223031201
51131244141330100
630403523025201
72636622303253
oct457021531541
9125875612121
1040672605025
1116281697168
127a7120b201
133ab251c5c0
141d7ba53cd3
1510d0a9736a
hex97846b361

40672605025 has 72 divisors (see below), whose sum is σ = 55978637624. Its totient is φ = 29140300800.

The previous prime is 40672605023. The next prime is 40672605047. The reversal of 40672605025 is 52050627604.

It can be written as a sum of positive squares in 12 ways, for example, as 39787483024 + 885122001 = 199468^2 + 29751^2 .

It is not a de Polignac number, because 40672605025 - 21 = 40672605023 is a prime.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40672605023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 129944269 + ... + 129944581.

Almost surely, 240672605025 is an apocalyptic number.

It is an amenable number.

40672605025 is a deficient number, since it is larger than the sum of its proper divisors (15306032599).

40672605025 is a wasteful number, since it uses less digits than its factorization.

40672605025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 40672605025 in words is "forty billion, six hundred seventy-two million, six hundred five thousand, twenty-five".

Divisors: 1 5 13 25 47 65 181 235 313 325 611 905 1175 1565 2209 2353 3055 4069 4525 7825 8507 11045 11765 14711 15275 20345 28717 42535 55225 56653 58825 73555 101725 110591 143585 191243 212675 283265 367775 399829 552955 691417 717925 736489 956215 1416325 1999145 2662691 2764775 3457085 3682445 4781075 5197777 8988421 9995725 13313455 17285425 18412225 25988885 34614983 44942105 66567275 125146477 129944425 173074915 224710525 625732385 865374575 1626904201 3128661925 8134521005 40672605025