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39982097034 = 23211225771429
BaseRepresentation
bin100101001111000111…
…100110001010001010
310211012102100222020200
4211033013212022022
51123340404101114
630211215033030
72613536134365
oct451707461212
9124172328220
1039982097034
1115a57940300
1278b9b0b776
133a024547a9
141d1406b0dc
15109014c409
hex94f1e628a

39982097034 has 72 divisors (see below), whose sum is σ = 95590911780. Its totient is φ = 12068474880.

The previous prime is 39982097033. The next prime is 39982097063. The reversal of 39982097034 is 43079028993.

It can be written as a sum of positive squares in 2 ways, for example, as 39978802809 + 3294225 = 199947^2 + 1815^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (39982097033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524032 + ... + 595460.

Almost surely, 239982097034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39982097034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47795455890).

39982097034 is an abundant number, since it is smaller than the sum of its proper divisors (55608814746).

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

39982097034 is a wasteful number, since it uses less digits than its factorization.

39982097034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71716 (or 71702 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 39982097034 in words is "thirty-nine billion, nine hundred eighty-two million, ninety-seven thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 257 363 514 726 771 1089 1542 2178 2313 2827 4626 5654 8481 16962 25443 31097 50886 62194 71429 93291 142858 186582 214287 279873 428574 559746 642861 785719 1285722 1571438 2357157 4714314 7071471 8642909 14142942 17285818 18357253 25928727 36714506 51857454 55071759 77786181 110143518 155572362 165215277 201929783 330430554 403859566 605789349 1211578698 1817368047 2221227613 3634736094 4442455226 6663682839 13327365678 19991048517 39982097034