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75764620140 = 223511157972701
BaseRepresentation
bin100011010001111101…
…1000101101101101100
321020120011111111002020
41012203323011231230
52220131220321030
654450014430140
75321342434236
oct1064373055554
9236504444066
1075764620140
112a14a175550
1212825502350
1371b581c4a1
14394a473256
151e86751510
hex11a3ec5b6c

75764620140 has 96 divisors (see below), whose sum is σ = 231576226560. Its totient is φ = 18355296000.

The previous prime is 75764620121. The next prime is 75764620159. The reversal of 75764620140 is 4102646757.

It is an interprime number because it is at equal distance from previous prime (75764620121) and next prime (75764620159).

It is a junction number, because it is equal to n+sod(n) for n = 75764620092 and 75764620101.

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, 1005790 + ... + 1078490.

It is an arithmetic number, because the mean of its divisors is an integer number (2412252360).

Almost surely, 275764620140 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 75764620140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115788113280).

75764620140 is an abundant number, since it is smaller than the sum of its proper divisors (155811606420).

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

75764620140 is a wasteful number, since it uses less digits than its factorization.

75764620140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74303 (or 74301 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 75764620140 in words is "seventy-five billion, seven hundred sixty-four million, six hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1579 3158 4737 6316 7895 9474 15790 17369 18948 23685 31580 34738 47370 52107 69476 72701 86845 94740 104214 145402 173690 208428 218103 260535 290804 347380 363505 436206 521070 727010 799711 872412 1042140 1090515 1454020 1599422 2181030 2399133 3198844 3998555 4362060 4798266 7997110 9596532 11995665 15994220 23991330 47982660 114794879 229589758 344384637 459179516 573974395 688769274 1147948790 1262743669 1377538548 1721923185 2295897580 2525487338 3443846370 3788231007 5050974676 6313718345 6887692740 7576462014 12627436690 15152924028 18941155035 25254873380 37882310070 75764620140