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46374481780 = 22511273925931
BaseRepresentation
bin101011001100001000…
…100110111101110100
311102200220202202121021
4223030020212331310
51224433331404110
633145410030524
73231126406534
oct531410467564
9142626682537
1046374481780
1118738205600
128ba2878444
1344b08c6883
14235d01b4c4
1513164422da
hexacc226f74

46374481780 has 72 divisors (see below), whose sum is σ = 107193552480. Its totient is φ = 16839979200.

The previous prime is 46374481757. The next prime is 46374481789. The reversal of 46374481780 is 8718447364.

It is a happy number.

46374481780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46374481789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1775415 + ... + 1801345.

It is an arithmetic number, because the mean of its divisors is an integer number (1488799340).

Almost surely, 246374481780 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 46374481780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53596776240).

46374481780 is an abundant number, since it is smaller than the sum of its proper divisors (60819070700).

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

46374481780 is a wasteful number, since it uses less digits than its factorization.

46374481780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26701 (or 26688 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 46374481780 in words is "forty-six billion, three hundred seventy-four million, four hundred eighty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 739 1210 1478 2420 2956 3695 7390 8129 14780 16258 25931 32516 40645 51862 81290 89419 103724 129655 162580 178838 259310 285241 357676 447095 518620 570482 894190 1140964 1426205 1788380 2852410 3137651 5704820 6275302 12550604 15688255 19163009 31376510 38326018 62753020 76652036 95815045 191630090 210793099 383260180 421586198 843172396 1053965495 2107930990 2318724089 4215861980 4637448178 9274896356 11593620445 23187240890 46374481780