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40846478550 = 23522364318413
BaseRepresentation
bin100110000010101000…
…111100110011010110
310220102122212002202220
4212002220330303112
51132123144303200
630433053443210
72644133224203
oct460250746326
9126378762686
1040846478550
1116360854999
127abb4a0506
133b0c559a47
141d96b94caa
1510e0e904a0
hex982a3ccd6

40846478550 has 96 divisors (see below), whose sum is σ = 105873723648. Its totient is φ = 10402043520.

The previous prime is 40846478441. The next prime is 40846478567. The reversal of 40846478550 is 5587464804.

It is a super-2 number, since 2×408464785502 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40846478493 and 40846478502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2209144 + ... + 2227556.

It is an arithmetic number, because the mean of its divisors is an integer number (1102851288).

Almost surely, 240846478550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40846478550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52936861824).

40846478550 is an abundant number, since it is smaller than the sum of its proper divisors (65027245098).

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

40846478550 is a wasteful number, since it uses less digits than its factorization.

40846478550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19094 (or 19089 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 51.

The spelling of 40846478550 in words is "forty billion, eight hundred forty-six million, four hundred seventy-eight thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 643 690 1150 1286 1725 1929 3215 3450 3858 6430 9645 14789 16075 18413 19290 29578 32150 36826 44367 48225 55239 73945 88734 92065 96450 110478 147890 184130 221835 276195 369725 423499 443670 460325 552390 739450 846998 920650 1109175 1270497 1380975 2117495 2218350 2540994 2761950 4234990 6352485 10587475 11839559 12704970 21174950 23679118 31762425 35518677 59197795 63524850 71037354 118395590 177593385 272309857 295988975 355186770 544619714 591977950 816929571 887966925 1361549285 1633859142 1775933850 2723098570 4084647855 6807746425 8169295710 13615492850 20423239275 40846478550