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66050973504 = 2633291318067
BaseRepresentation
bin111101100000111100…
…011101111101000000
320022111012120002221000
4331200330131331000
52040233022123004
650202101332000
74525543003605
oct754074357500
9208435502830
1066050973504
112601506400a
1210974407000
1362c8262499
1432a83706ac
151ab8aa8c39
hexf60f1df40

66050973504 has 112 divisors (see below), whose sum is σ = 200873563200. Its totient is φ = 21257768448.

The previous prime is 66050973481. The next prime is 66050973517. The reversal of 66050973504 is 40537905066.

66050973504 is a `hidden beast` number, since 6 + 6 + 0 + 50 + 97 + 3 + 504 = 666.

It is a super-2 number, since 2×660509735042 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66050973504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608922 + ... + 709145.

Almost surely, 266050973504 is an apocalyptic number.

66050973504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66050973504 is an abundant number, since it is smaller than the sum of its proper divisors (134822589696).

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

66050973504 is a wasteful number, since it uses less digits than its factorization.

66050973504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318117 (or 1318101 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 66050973504 in words is "sixty-six billion, fifty million, nine hundred seventy-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 3132 4176 5568 6264 8352 12528 16704 25056 50112 1318067 2636134 3954201 5272268 7908402 10544536 11862603 15816804 21089072 23725206 31633608 35587809 38223943 42178144 47450412 63267216 71175618 76447886 84356288 94900824 114671829 126534432 142351236 152895772 189801648 229343658 253068864 284702472 305791544 344015487 379603296 458687316 569404944 611583088 688030974 759206592 917374632 1032046461 1138809888 1223166176 1376061948 1834749264 2064092922 2277619776 2446332352 2752123896 3669498528 4128185844 5504247792 7338997056 8256371688 11008495584 16512743376 22016991168 33025486752 66050973504