Search a number
-
+
4136794956 = 223378836197
BaseRepresentation
bin1111011010010010…
…0111101101001100
3101200022002221212000
43312210213231030
531433004414311
61522253512300
7204341114460
oct36644475514
911608087760
104136794956
111833127308
129754a2690
1350c078c88
142b35a24a0
15193297056
hexf6927b4c

4136794956 has 96 divisors (see below), whose sum is σ = 12273031680. Its totient is φ = 1180412352.

The previous prime is 4136794913. The next prime is 4136794957. The reversal of 4136794956 is 6594976314.

It is a super-2 number, since 2×41367949562 = 34226145015974083872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4136794957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664450 + ... + 670646.

It is an arithmetic number, because the mean of its divisors is an integer number (127844080).

Almost surely, 24136794956 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 4136794956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136515840).

4136794956 is an abundant number, since it is smaller than the sum of its proper divisors (8136236724).

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

4136794956 is a wasteful number, since it uses less digits than its factorization.

4136794956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7092 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 4136794956 is about 64317.9209552050. The cubic root of 4136794956 is about 1605.2943053633.

The spelling of 4136794956 in words is "four billion, one hundred thirty-six million, seven hundred ninety-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 883 1766 2649 3532 5298 6181 6197 7947 10596 12362 12394 15894 18543 18591 23841 24724 24788 31788 37086 37182 43379 47682 55629 55773 74172 74364 86758 95364 111258 111546 130137 166887 167319 173516 222516 223092 260274 333774 334638 390411 520548 667548 669276 780822 1171233 1561644 2342466 4684932 5471951 10943902 16415853 21887804 32831706 38303657 49247559 65663412 76607314 98495118 114910971 147742677 153214628 196990236 229821942 295485354 344732913 459643884 590970708 689465826 1034198739 1378931652 2068397478 4136794956