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48081191940 = 22325449594917
BaseRepresentation
bin101100110001110111…
…001100010000000100
311121002212020121210200
4230301313030100010
51241432241120230
634031014450500
73321332250105
oct546167142004
9147085217720
1048081191940
1119433641171
12939a363a30
1346c3382442
14248196c3ac
1513b61be160
hexb31dcc404

48081191940 has 72 divisors (see below), whose sum is σ = 146171352600. Its totient is φ = 12793073664.

The previous prime is 48081191923. The next prime is 48081191981. The reversal of 48081191940 is 4919118084.

48081191940 is a `hidden beast` number, since 480 + 8 + 119 + 19 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7545007044 + 40536184896 = 86862^2 + 201336^2 .

It is a super-3 number, since 3×480811919403 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 216639 + ... + 378278.

It is an arithmetic number, because the mean of its divisors is an integer number (2030157675).

Almost surely, 248081191940 is an apocalyptic number.

It is an amenable number.

48081191940 is an abundant number, since it is smaller than the sum of its proper divisors (98090160660).

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

48081191940 is a wasteful number, since it uses less digits than its factorization.

48081191940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595381 (or 595376 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 48081191940 in words is "forty-eight billion, eighty-one million, one hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 40410 80820 594917 1189834 1784751 2379668 2974585 3569502 5354253 5949170 7139004 8923755 10708506 11898340 17847510 21417012 26771265 35695020 53542530 107085060 267117733 534235466 801353199 1068470932 1335588665 1602706398 2404059597 2671177330 3205412796 4006765995 4808119194 5342354660 8013531990 9616238388 12020297985 16027063980 24040595970 48081191940