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40829370036 = 22371381146103
BaseRepresentation
bin100110000001100111…
…101011111010110100
310220101110122220022020
4212001213223322310
51132104304320121
630431243033140
72643534630150
oct460147537264
9126343586266
1040829370036
111635212a024
127ab580b7b0
133b08b49770
141d947c0060
1510de7111c6
hex9819ebeb4

40829370036 has 96 divisors (see below), whose sum is σ = 117400700928. Its totient is φ = 10754674560.

The previous prime is 40829370031. The next prime is 40829370037. The reversal of 40829370036 is 63007392804.

It is a super-2 number, since 2×408293700362 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40829370036.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40829370031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 862561 + ... + 908663.

It is an arithmetic number, because the mean of its divisors is an integer number (1222923968).

Almost surely, 240829370036 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 40829370036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58700350464).

40829370036 is an abundant number, since it is smaller than the sum of its proper divisors (76571330892).

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

40829370036 is a wasteful number, since it uses less digits than its factorization.

40829370036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46941 (or 46939 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 40829370036 in words is "forty billion, eight hundred twenty-nine million, three hundred seventy thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 811 1092 1622 2433 3244 4866 5677 9732 10543 11354 17031 21086 22708 31629 34062 42172 46103 63258 68124 73801 92206 126516 138309 147602 184412 221403 276618 295204 322721 442806 553236 599339 645442 885612 968163 1198678 1290884 1798017 1936326 2397356 3596034 3872652 4195373 7192068 8390746 12586119 16781492 25172238 37389533 50344476 74779066 112168599 149558132 224337198 261726731 448674396 486063929 523453462 785180193 972127858 1046906924 1458191787 1570360386 1944255716 2916383574 3140720772 3402447503 5832767148 6804895006 10207342509 13609790012 20414685018 40829370036