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40950615106656 = 2532142189635787
BaseRepresentation
bin10010100111110100011101…
…10111011110010001100000
312100222211200202221220212200
421103322032313132101200
520331413324431403111
6223032241453053200
711424404263114623
oct1123721667362140
9170884622856780
1040950615106656
1112059070713722
124714606187200
1319b081b37b208
14a1803db8bdba
154b0345ae2256
hex253e8edde460

40950615106656 has 36 divisors (see below), whose sum is σ = 116453311710372. Its totient is φ = 13650205035456.

The previous prime is 40950615106631. The next prime is 40950615106693. The reversal of 40950615106656 is 65660151605904.

40950615106656 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 0 + 61 + 510 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×409506151066562 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71094817606 + ... + 71094818181.

It is an arithmetic number, because the mean of its divisors is an integer number (3234814214177).

Almost surely, 240950615106656 is an apocalyptic number.

It is an amenable number.

40950615106656 is an abundant number, since it is smaller than the sum of its proper divisors (75502696603716).

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

40950615106656 is a wasteful number, since it uses less digits than its factorization.

40950615106656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142189635803 (or 142189635792 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 40950615106656 in words is "forty trillion, nine hundred fifty billion, six hundred fifteen million, one hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 142189635787 284379271574 426568907361 568758543148 853137814722 1137517086296 1279706722083 1706275629444 2275034172592 2559413444166 3412551258888 4550068345184 5118826888332 6825102517776 10237653776664 13650205035552 20475307553328 40950615106656