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420732025792 = 26133195317117
BaseRepresentation
bin1100001111101011001…
…01010011101111000000
31111012222112112101211221
412013311211103233000
523343124344311132
6521140455244424
742253063132621
oct6076545235700
91435875471757
10420732025792
11152482295211
126965a379714
13308a0889420
141651379ba48
15ae26a60e97
hex61f5953bc0

420732025792 has 112 divisors (see below), whose sum is σ = 929144224512. Its totient is φ = 187711856640.

The previous prime is 420732025783. The next prime is 420732025793. The reversal of 420732025792 is 297520237024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420732025793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24571218 + ... + 24588334.

It is an arithmetic number, because the mean of its divisors is an integer number (8295930576).

Almost surely, 2420732025792 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 420732025792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464572112256).

420732025792 is an abundant number, since it is smaller than the sum of its proper divisors (508412198720).

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

420732025792 is a wasteful number, since it uses less digits than its factorization.

420732025792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18126 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 420732025792 in words is "four hundred twenty billion, seven hundred thirty-two million, twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 953 992 1612 1906 1984 3224 3812 6448 7624 12389 12896 15248 17117 24778 25792 29543 30496 34234 49556 59086 60992 68468 99112 118172 136936 198224 222521 236344 273872 384059 396448 445042 472688 530627 547744 768118 792896 890084 945376 1061254 1095488 1536236 1780168 1890752 2122508 3072472 3560336 4245016 6144944 6898151 7120672 8490032 12289888 13796302 14241344 16312501 16980064 24579776 27592604 32625002 33960128 55185208 65250004 110370416 130500008 212062513 220740832 261000016 424125026 441481664 505687531 522000032 848250052 1011375062 1044000064 1696500104 2022750124 3393000208 4045500248 6573937903 6786000416 8091000496 13147875806 13572000832 16182000992 26295751612 32364001984 52591503224 105183006448 210366012896 420732025792