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66429901152 = 2532593909481
BaseRepresentation
bin111101110111100001…
…111101100101100000
320100110121120121221100
4331313201331211200
52042022023314102
650303435154400
74541123562126
oct756741754540
9210417517840
1066429901152
1126199a46a5a
1210a5b2a5a00
136358906524
14330280b916
151adbea8a1c
hexf7787d960

66429901152 has 72 divisors (see below), whose sum is σ = 192111945480. Its totient is φ = 21767984640.

The previous prime is 66429901141. The next prime is 66429901171. The reversal of 66429901152 is 25110992466.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 66429901098 and 66429901107.

It is a congruent 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, 1937749 + ... + 1971732.

It is an arithmetic number, because the mean of its divisors is an integer number (2668221465).

Almost surely, 266429901152 is an apocalyptic number.

It is an amenable number.

66429901152 is an abundant number, since it is smaller than the sum of its proper divisors (125682044328).

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

66429901152 is a wasteful number, since it uses less digits than its factorization.

66429901152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909556 (or 3909545 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 66429901152 in words is "sixty-six billion, four hundred twenty-nine million, nine hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 3909481 7818962 11728443 15637924 23456886 31275848 35185329 46913772 62551696 70370658 93827544 125103392 140741316 187655088 230659379 281482632 375310176 461318758 562965264 691978137 922637516 1125930528 1383956274 1845275032 2075934411 2767912548 3690550064 4151868822 5535825096 7381100128 8303737644 11071650192 16607475288 22143300384 33214950576 66429901152