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96725015820 = 223254714976733
BaseRepresentation
bin101101000010101000…
…0101001110100001100
3100020122221011220112100
41122011100221310030
53041043101001240
6112233532435100
76662636032446
oct1320520516414
9306587156470
1096725015820
1138025828004
12168b5018a90
139176178894
144978117496
1527b1978e30
hex1685429d0c

96725015820 has 144 divisors (see below), whose sum is σ = 301656700800. Its totient is φ = 25074789888.

The previous prime is 96725015819. The next prime is 96725015873. The reversal of 96725015820 is 2851052769.

96725015820 is a `hidden beast` number, since 9 + 6 + 72 + 501 + 58 + 20 = 666.

96725015820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222174 + ... + 1298906.

It is an arithmetic number, because the mean of its divisors is an integer number (2094838200).

Almost surely, 296725015820 is an apocalyptic number.

96725015820 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96725015820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150828350400).

96725015820 is an abundant number, since it is smaller than the sum of its proper divisors (204931684980).

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

96725015820 is a wasteful number, since it uses less digits than its factorization.

96725015820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76944 (or 76939 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

It can be divided in two parts, 9672501 and 5820, that added together give a square (9678321 = 31112).

The spelling of 96725015820 in words is "ninety-six billion, seven hundred twenty-five million, fifteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 149 180 188 235 282 298 423 447 470 564 596 705 745 846 894 940 1341 1410 1490 1692 1788 2115 2235 2682 2820 2980 4230 4470 5364 6705 7003 8460 8940 13410 14006 21009 26820 28012 35015 42018 63027 70030 76733 84036 105045 126054 140060 153466 210090 230199 252108 306932 315135 383665 420180 460398 630270 690597 767330 920796 1150995 1260540 1381194 1534660 2301990 2762388 3452985 3606451 4603980 6905970 7212902 10819353 11433217 13811940 14425804 18032255 21638706 22866434 32458059 34299651 36064510 43277412 45732868 54096765 57166085 64916118 68599302 72129020 102898953 108193530 114332170 129832236 137198604 162290295 171498255 205797906 216387060 228664340 324580590 342996510 411595812 514494765 537361199 649161180 685993020 1028989530 1074722398 1612083597 2057979060 2149444796 2686805995 3224167194 4836250791 5373611990 6448334388 8060417985 9672501582 10747223980 16120835970 19345003164 24181253955 32241671940 48362507910 96725015820