Search a number
-
+
54570000680 = 235131711354629
BaseRepresentation
bin110010110100101000…
…000010000100101000
312012212002002021000022
4302310220002010220
51343224410010210
641022532300012
73641203231616
oct626450020450
9165762067008
1054570000680
1121163385218
12a6ab471608
1351b87b5440
1428d965c6b6
151645bae155
hexcb4a02128

54570000680 has 128 divisors (see below), whose sum is σ = 141246957600. Its totient is φ = 18795528192.

The previous prime is 54570000649. The next prime is 54570000703. The reversal of 54570000680 is 8600007545.

It can be written as a sum of positive squares in 16 ways, for example, as 72965764 + 54497034916 = 8542^2 + 233446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54570000680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971606 + ... + 1026234.

Almost surely, 254570000680 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 54570000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70623478800).

54570000680 is an abundant number, since it is smaller than the sum of its proper divisors (86676956920).

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

54570000680 is a wasteful number, since it uses less digits than its factorization.

54570000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54783 (or 54779 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 54570000680 in words is "fifty-four billion, five hundred seventy million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 113 130 136 170 221 226 260 340 442 452 520 565 680 884 904 1105 1130 1469 1768 1921 2210 2260 2938 3842 4420 4520 5876 7345 7684 8840 9605 11752 14690 15368 19210 24973 29380 38420 49946 54629 58760 76840 99892 109258 124865 199784 218516 249730 273145 437032 499460 546290 710177 928693 998920 1092580 1420354 1857386 2185160 2840708 3550885 3714772 4643465 5681416 6173077 7101770 7429544 9286930 12073009 12346154 14203540 18573860 24146018 24692308 28407080 30865385 37147720 48292036 49384616 60365045 61730770 80250001 96584072 104942309 120730090 123461540 160500002 209884618 241460180 246923080 321000004 401250005 419769236 482920360 524711545 642000008 802500010 839538472 1049423090 1364250017 1605000020 2098846180 2728500034 3210000040 4197692360 5457000068 6821250085 10914000136 13642500170 27285000340 54570000680