Search a number
-
+
377013434336 = 25711769198971
BaseRepresentation
bin1010111110001111100…
…00000111011111100000
31100001010201021211211222
411133013300013133200
522134110414344321
6445110402154212
736144513213410
oct5370760073740
91301121254758
10377013434336
111359882893a0
1261099052968
13297242a3cb6
14143673b0640
159c1888e3ab
hex57c7c077e0

377013434336 has 96 divisors (see below), whose sum is σ = 926604645120. Its totient is φ = 146696601600.

The previous prime is 377013434333. The next prime is 377013434339. The reversal of 377013434336 is 633434310773.

It is an interprime number because it is at equal distance from previous prime (377013434333) and next prime (377013434339).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377013434333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1795331 + ... + 1994301.

It is an arithmetic number, because the mean of its divisors is an integer number (9652131720).

Almost surely, 2377013434336 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 377013434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463302322560).

377013434336 is an abundant number, since it is smaller than the sum of its proper divisors (549591210784).

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

377013434336 is a wasteful number, since it uses less digits than its factorization.

377013434336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199768 (or 199760 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 44.

The spelling of 377013434336 in words is "three hundred seventy-seven billion, thirteen million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 769 1232 1538 2464 3076 5383 6152 8459 10766 12304 16918 21532 24608 33836 43064 59213 67672 86128 118426 135344 172256 198971 236852 270688 397942 473704 795884 947408 1392797 1591768 1894816 2188681 2785594 3183536 4377362 5571188 6367072 8754724 11142376 15320767 17509448 22284752 30641534 35018896 44569504 61283068 70037792 122566136 153008699 245132272 306017398 490264544 612034796 1071060893 1224069592 1683095689 2142121786 2448139184 3366191378 4284243572 4896278368 6732382756 8568487144 11781669823 13464765512 17136974288 23563339646 26929531024 34273948576 47126679292 53859062048 94253358584 188506717168 377013434336