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39629919042 = 2327288151001
BaseRepresentation
bin100100111010001000…
…001001001101000010
310210021212200110212100
4210322020021031002
51122130224402132
630112234411230
72602031516400
oct447210111502
9123255613770
1039629919042
111589706880a
12781bb90b16
1339774b814c
141cbd394470
15106e28337c
hex93a209342

39629919042 has 72 divisors (see below), whose sum is σ = 99998907372. Its totient is φ = 11309760000.

The previous prime is 39629919029. The next prime is 39629919059. The reversal of 39629919042 is 24091992693.

39629919042 is a `hidden beast` number, since 3 + 9 + 629 + 9 + 1 + 9 + 0 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39624485481 + 5433561 = 199059^2 + 2331^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 39629919042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 751542 + ... + 802542.

Almost surely, 239629919042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39629919042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49999453686).

39629919042 is an abundant number, since it is smaller than the sum of its proper divisors (60368988330).

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

39629919042 is a wasteful number, since it uses less digits than its factorization.

39629919042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51904 (or 51894 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 39629919042 in words is "thirty-nine billion, six hundred twenty-nine million, nine hundred nineteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 881 882 1762 2643 5286 6167 7929 12334 15858 18501 37002 43169 51001 55503 86338 102002 111006 129507 153003 259014 306006 357007 388521 459009 714014 777042 918018 1071021 2142042 2499049 3213063 4998098 6426126 7497147 14994294 22491441 44931881 44982882 89863762 134795643 269591286 314523167 404386929 629046334 808773858 943569501 1887139002 2201662169 2830708503 4403324338 5661417006 6604986507 13209973014 19814959521 39629919042