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40993525416 = 23317234368449
BaseRepresentation
bin100110001011011001…
…111000111010101000
310220210220112212011010
4212023121320322220
51132423320303131
630455425303520
72650600134234
oct461331707250
9126726485133
1040993525416
111642685a428
127b40794ba0
133b33b6371c
141dac5115c4
1510edd39b46
hex98b678ea8

40993525416 has 64 divisors (see below), whose sum is σ = 113230224000. Its totient is φ = 12301549568.

The previous prime is 40993525369. The next prime is 40993525429. The reversal of 40993525416 is 61452539904.

40993525416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2174841 + ... + 2193608.

It is an arithmetic number, because the mean of its divisors is an integer number (1769222250).

Almost surely, 240993525416 is an apocalyptic number.

40993525416 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

40993525416 is an abundant number, since it is smaller than the sum of its proper divisors (72236698584).

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

40993525416 is a wasteful number, since it uses less digits than its factorization.

40993525416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368498 (or 4368494 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 40993525416 in words is "forty billion, nine hundred ninety-three million, five hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 4368449 8736898 13105347 17473796 26210694 34947592 52421388 74263633 100474327 104842776 148527266 200948654 222790899 297054532 301422981 401897308 445581798 594109064 602845962 803794616 891163596 1205691924 1708063559 1782327192 2411383848 3416127118 5124190677 6832254236 10248381354 13664508472 20496762708 40993525416