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730613225672 = 231128323312
BaseRepresentation
bin10101010000110111111…
…00010001100011001000
32120211211200200101120222
422220123330101203020
543432243441210142
61315350013005212
7103533163644221
oct12503374214310
92524750611528
10730613225672
11261940134200
12b9720a83808
1353b868ab765
142750cd7a248
1514011962bd2
hexaa1bf118c8

730613225672 has 108 divisors (see below), whose sum is σ = 1528736358555. Its totient is φ = 327104527200.

The previous prime is 730613225627. The next prime is 730613225677. The reversal of 730613225672 is 276522316037.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 365306612836 + 365306612836 = 604406^2 + 604406^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=604406.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (730613225677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2207290547 + ... + 2207290877.

Almost surely, 2730613225672 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 730613225672

730613225672 is an abundant number, since it is smaller than the sum of its proper divisors (798123132883).

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

730613225672 is an equidigital number, since it uses as much as digits as its factorization.

730613225672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 730613225672 in words is "seven hundred thirty billion, six hundred thirteen million, two hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 83 88 121 166 242 331 332 484 662 664 913 968 1324 1826 2648 3641 3652 6889 7282 7304 10043 13778 14564 20086 27473 27556 29128 40051 40172 54946 55112 75779 80102 80344 109561 109892 151558 160204 219122 219784 302203 303116 320408 438244 604406 606232 833569 876488 1205171 1208812 1667138 2280259 2410342 2417624 3324233 3334276 4560518 4820684 6648466 6668552 9093563 9121036 9641368 13256881 13296932 18187126 18242072 25082849 26513762 26593864 36374252 50165698 53027524 72748504 100029193 100331396 106055048 200058386 200662792 275911339 400116772 551822678 754765729 800233544 1100321123 1103645356 1509531458 2200642246 2207290712 3019062916 4401284492 6038125832 8302423019 8802568984 16604846038 33209692076 66419384152 91326653209 182653306418 365306612836 730613225672