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30925955088 = 2433737276401
BaseRepresentation
bin11100110011010101…
…001010000000010000
32221211021122021222000
4130303111022000100
51001314021030323
622112430314000
72143242165240
oct346325120020
987737567860
1030925955088
111212a993876
125bb1058900
132bbb178612
1416d53ddb20
15c10080e43
hex73354a010

30925955088 has 160 divisors (see below), whose sum is σ = 104192497920. Its totient is φ = 8597145600.

The previous prime is 30925955087. The next prime is 30925955117. The reversal of 30925955088 is 88055952903.

30925955088 is a `hidden beast` number, since 3 + 0 + 9 + 2 + 5 + 9 + 550 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30925955087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26313 + ... + 250088.

It is an arithmetic number, because the mean of its divisors is an integer number (651203112).

Almost surely, 230925955088 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 30925955088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52096248960).

30925955088 is an abundant number, since it is smaller than the sum of its proper divisors (73266542832).

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

30925955088 is a wasteful number, since it uses less digits than its factorization.

30925955088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276462 (or 276450 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 30925955088 in words is "thirty billion, nine hundred twenty-five million, nine hundred fifty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 189 216 222 252 259 296 333 336 378 432 444 504 518 592 666 756 777 888 999 1008 1036 1332 1512 1554 1776 1998 2072 2331 2664 3024 3108 3996 4144 4662 5328 6216 6993 7992 9324 12432 13986 15984 18648 27972 37296 55944 111888 276401 552802 829203 1105604 1658406 1934807 2211208 2487609 3316812 3869614 4422416 4975218 5804421 6633624 7462827 7739228 9950436 10226837 11608842 13267248 14925654 15478456 17413263 19900872 20453674 23217684 29851308 30680511 30956912 34826526 39801744 40907348 46435368 52239789 59702616 61361022 69653052 71587859 81814696 92041533 92870736 104479578 119405232 122722044 139306104 143175718 163629392 184083066 208959156 214763577 245444088 276124599 278612208 286351436 368166132 417918312 429527154 490888176 552249198 572702872 644290731 736332264 835836624 859054308 1104498396 1145405744 1288581462 1472664528 1718108616 1932872193 2208996792 2577162924 3436217232 3865744386 4417993584 5154325848 7731488772 10308651696 15462977544 30925955088