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66600450036 = 223219731936911
BaseRepresentation
bin111110000001101100…
…100011011111110100
320100220111111102000200
4332001230203133310
52042344203400121
650332410440500
74545264325161
oct760154433764
9210814442020
1066600450036
112627724394a
1210aa8433130
13638504b623
14331b325068
151aebe46a26
hexf81b237f4

66600450036 has 144 divisors (see below), whose sum is σ = 180596183040. Its totient is φ = 20633149440.

The previous prime is 66600450029. The next prime is 66600450041. The reversal of 66600450036 is 63005400666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9633421 + ... + 9640331.

It is an arithmetic number, because the mean of its divisors is an integer number (1254140160).

Almost surely, 266600450036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66600450036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90298091520).

66600450036 is an abundant number, since it is smaller than the sum of its proper divisors (113995733004).

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

66600450036 is a wasteful number, since it uses less digits than its factorization.

66600450036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7206 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

It can be divided in two parts, 66600 and 450036, that added together give a triangular number (516636 = T1016).

The spelling of 66600450036 in words is "sixty-six billion, six hundred million, four hundred fifty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 73 76 114 146 171 193 219 228 292 342 386 438 579 657 684 772 876 1158 1314 1387 1737 2316 2628 2774 3474 3667 4161 5548 6911 6948 7334 8322 11001 12483 13822 14089 14668 16644 20733 22002 24966 27644 28178 33003 41466 42267 44004 49932 56356 62199 66006 82932 84534 124398 126801 131309 132012 169068 248796 253602 262618 267691 393927 504503 507204 525236 535382 787854 803073 1009006 1070764 1181781 1333823 1513509 1575708 1606146 2018012 2363562 2409219 2667646 3027018 3212292 4001469 4540527 4727124 4818438 5335292 6054036 8002938 9081054 9585557 9636876 12004407 16005876 18162108 19171114 24008814 25342637 28756671 38342228 48017628 50685274 57513342 76027911 86270013 97369079 101370548 115026684 152055822 172540026 194738158 228083733 292107237 304111644 345080052 389476316 456167466 584214474 876321711 912334932 1168428948 1752643422 1850012501 3505286844 3700025002 5550037503 7400050004 11100075006 16650112509 22200150012 33300225018 66600450036