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4136400606 = 2313617311909
BaseRepresentation
bin1111011010001100…
…0111011011011110
3101200021100220220110
43312203013123132
531432404304411
61522241230450
7204334552662
oct36643073336
911607326813
104136400606
111832987aa8
12975332426
1350bc6b630
142b34dc8a2
1519321a2a6
hexf68c76de

4136400606 has 64 divisors (see below), whose sum is σ = 9180037440. Its totient is φ = 1234621440.

The previous prime is 4136400599. The next prime is 4136400613. The reversal of 4136400606 is 6060046314.

It is an interprime number because it is at equal distance from previous prime (4136400599) and next prime (4136400613).

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, 341380 + ... + 353288.

It is an arithmetic number, because the mean of its divisors is an integer number (143438085).

Almost surely, 24136400606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136400606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590018720).

4136400606 is an abundant number, since it is smaller than the sum of its proper divisors (5043636834).

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

4136400606 is a wasteful number, since it uses less digits than its factorization.

4136400606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4136400606 is about 64314.8552513337. The cubic root of 4136400606 is about 1605.2432942195.

The spelling of 4136400606 in words is "four billion, one hundred thirty-six million, four hundred thousand, six hundred six".

Divisors: 1 2 3 6 13 26 39 61 73 78 122 146 183 219 366 438 793 949 1586 1898 2379 2847 4453 4758 5694 8906 11909 13359 23818 26718 35727 57889 71454 115778 154817 173667 309634 347334 464451 726449 869357 928902 1452898 1738714 2179347 2608071 4358694 5216142 9443837 11301641 18887674 22603282 28331511 33904923 53030777 56663022 67809846 106061554 159092331 318184662 689400101 1378800202 2068200303 4136400606