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77671480040 = 23571125218013
BaseRepresentation
bin100100001010110010…
…1001011101011101000
321102111001121000002222
41020111211023223220
52233032344330130
655403133213212
75416525454450
oct1102545135350
9242431530088
1077671480040
112aa38586620
1213078031208
13742a8b555b
143a8b804d60
152048d66ce5
hex121594bae8

77671480040 has 64 divisors (see below), whose sum is σ = 217883640960. Its totient is φ = 24209291520.

The previous prime is 77671480031. The next prime is 77671480069. The reversal of 77671480040 is 4008417677.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 77671479973 and 77671480000.

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 15 ways as a sum of consecutive naturals, for example, 12605927 + ... + 12612086.

It is an arithmetic number, because the mean of its divisors is an integer number (3404431890).

Almost surely, 277671480040 is an apocalyptic number.

77671480040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77671480040 is an abundant number, since it is smaller than the sum of its proper divisors (140212160920).

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

77671480040 is a wasteful number, since it uses less digits than its factorization.

77671480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218042 (or 25218038 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 44.

The spelling of 77671480040 in words is "seventy-seven billion, six hundred seventy-one million, four hundred eighty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 25218013 50436026 100872052 126090065 176526091 201744104 252180130 277398143 353052182 504360260 554796286 706104364 882630455 1008720520 1109592572 1386990715 1412208728 1765260910 1941787001 2219185144 2773981430 3530521820 3883574002 5547962860 7061043640 7767148004 9708935005 11095925720 15534296008 19417870010 38835740020 77671480040