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66969792 = 2632233499
BaseRepresentation
bin1111111101111…
…0000011000000
311200000102021200
43333132003000
5114121013132
610351221200
71442143131
oct377360300
9150012250
1066969792
113489143a
121a517800
1310b4a4c6
148c73c88
155d2cd7c
hex3fde0c0

66969792 has 84 divisors (see below), whose sum is σ = 193167000. Its totient is φ = 22182912.

The previous prime is 66969761. The next prime is 66969811. The reversal of 66969792 is 29796966.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133959 + ... + 134457.

Almost surely, 266969792 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 66969792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96583500).

66969792 is an abundant number, since it is smaller than the sum of its proper divisors (126197208).

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

66969792 is a wasteful number, since it uses less digits than its factorization.

66969792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 737 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 66969792 is about 8183.5073165483. The cubic root of 66969792 is about 406.0937604482.

The spelling of 66969792 in words is "sixty-six million, nine hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 233 288 466 499 576 699 932 998 1398 1497 1864 1996 2097 2796 2994 3728 3992 4194 4491 5592 5988 7456 7984 8388 8982 11184 11976 14912 15968 16776 17964 22368 23952 31936 33552 35928 44736 47904 67104 71856 95808 116267 134208 143712 232534 287424 348801 465068 697602 930136 1046403 1395204 1860272 2092806 2790408 3720544 4185612 5580816 7441088 8371224 11161632 16742448 22323264 33484896 66969792