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3922681388948 = 2274119358730161
BaseRepresentation
bin111001000101010010000…
…001111101111110010100
3111220000010102002022001222
4321011102001331332110
51003232122413421243
612202015511505512
7553255462442030
oct71052201757624
914800112068058
103922681388948
11128266641a813
125342aa088298
13225ba43621ca
14d7c047511c0
156c0880e7168
hex3915207df94

3922681388948 has 96 divisors (see below), whose sum is σ = 8092384489728. Its totient is φ = 1628813721600.

The previous prime is 3922681388921. The next prime is 3922681388953. The reversal of 3922681388948 is 8498831862293.

3922681388948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130042988 + ... + 130073148.

It is an arithmetic number, because the mean of its divisors is an integer number (84295671768).

Almost surely, 23922681388948 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 3922681388948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046192244864).

3922681388948 is an abundant number, since it is smaller than the sum of its proper divisors (4169703100780).

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

3922681388948 is a wasteful number, since it uses less digits than its factorization.

3922681388948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30993 (or 30991 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 71.

The spelling of 3922681388948 in words is "three trillion, nine hundred twenty-two billion, six hundred eighty-one million, three hundred eighty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 41 82 164 193 287 386 574 587 772 1148 1174 1351 2348 2702 4109 5404 7913 8218 15826 16436 24067 30161 31652 48134 55391 60322 96268 110782 113291 120644 168469 211127 221564 226582 336938 422254 453164 673876 793037 844508 1236601 1586074 2473202 3172148 4644931 4946404 5821073 8656207 9289862 11642146 17312414 17704507 18579724 23284292 32514517 34624828 35409014 40747511 65029034 70818028 81495022 123931549 130058068 162990044 238663993 247863098 477327986 495726196 725884787 954655972 1451769574 1670647951 2903539148 3341295902 3416969851 5081193509 6682591804 6833939702 10162387018 13667879404 20324774036 23918788957 47837577914 95675155828 140095763891 280191527782 560383055564 980670347237 1961340694474 3922681388948