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38940252435 = 3257373341077
BaseRepresentation
bin100100010001000001…
…010001100100010011
310201111210221210010200
4210101001101210103
51114222201034220
625520000430243
72545655453520
oct442101214423
9121453853120
1038940252435
1115572837007
127669018383
1338976562b6
141c5594a147
15102d952890
hex911051913

38940252435 has 48 divisors (see below), whose sum is σ = 79223641536. Its totient is φ = 17320137984.

The previous prime is 38940252433. The next prime is 38940252443. The reversal of 38940252435 is 53425204983.

38940252435 is a `hidden beast` number, since 3 + 8 + 94 + 0 + 2 + 524 + 35 = 666.

It is not a de Polignac number, because 38940252435 - 21 = 38940252433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38940252433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658884 + ... + 1682193.

It is an arithmetic number, because the mean of its divisors is an integer number (1650492532).

Almost surely, 238940252435 is an apocalyptic number.

38940252435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38940252435 is an abundant number, since it is smaller than the sum of its proper divisors (40283389101).

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

38940252435 is a wasteful number, since it uses less digits than its factorization.

38940252435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341132 (or 3341129 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38940252435 in words is "thirty-eight billion, nine hundred forty million, two hundred fifty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 11655 3341077 10023231 16705385 23387539 30069693 50116155 70162617 116937695 123619849 150348465 210487851 350813085 370859547 618099245 865338943 1052439255 1112578641 1854297735 2596016829 4326694715 5562893205 7788050487 12980084145 38940252435