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377861007616 = 2810323732
BaseRepresentation
bin1010111111110100100…
…01010110100100000000
31100010022210011000210221
411133322101112210000
522142324404220431
6445330440432424
736204514366501
oct5377221264400
91303283130727
10377861007616
11136282762784
1261294a78714
132982aa72851
1414407ba0ba8
159c67eb2111
hex57fa456900

377861007616 has 81 divisors (see below), whose sum is σ = 763687271529. Its totient is φ = 186594628608.

The previous prime is 377861007553. The next prime is 377861007619. The reversal of 377861007616 is 616700168773.

The square root of 377861007616 is 614704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 205390240000 + 172470767616 = 453200^2 + 415296^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (377861007619) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1013032006 + ... + 1013032378.

Almost surely, 2377861007616 is an apocalyptic number.

377861007616 is the 614704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377861007616

377861007616 is an abundant number, since it is smaller than the sum of its proper divisors (385826263913).

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

377861007616 is an frugal number, since it uses more digits than its factorization.

377861007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 377861007616 in words is "three hundred seventy-seven billion, eight hundred sixty-one million, seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 373 412 746 824 1492 1648 2984 3296 5968 6592 10609 11936 13184 21218 23872 26368 38419 42436 47744 76838 84872 95488 139129 153676 169744 278258 307352 339488 556516 614704 678976 1113032 1229408 1357952 2226064 2458816 2715904 3957157 4452128 4917632 7914314 8904256 9835264 14330287 15828628 17808512 28660574 31657256 35617024 57321148 63314512 114642296 126629024 229284592 253258048 458569184 506516096 917138368 1013032192 1476019561 1834276736 2952039122 3668553472 5904078244 11808156488 23616312976 47232625952 94465251904 188930503808 377861007616