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1379790659780 = 2251315754376217
BaseRepresentation
bin10100000101000001111…
…011101010000011000100
311212220110222112221102122
4110011001323222003010
5140101302402103110
62533511142225112
7201454333044551
oct24050173520304
94786428487378
101379790659780
11492190946925
121a34b5125198
13a0162a547b0
144aad45cda28
1525d58d42255
hex14141eea0c4

1379790659780 has 96 divisors (see below), whose sum is σ = 3141407917536. Its totient is φ = 506041675776.

The previous prime is 1379790659747. The next prime is 1379790659789. The reversal of 1379790659780 is 879560979731.

It can be written as a sum of positive squares in 16 ways, for example, as 453007071364 + 926783588416 = 673058^2 + 962696^2 .

It is a super-2 number, since 2×13797906597802 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1379790659789) 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, 221935232 + ... + 221941448.

It is an arithmetic number, because the mean of its divisors is an integer number (32722999141).

Almost surely, 21379790659780 is an apocalyptic number.

1379790659780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379790659780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570703958768).

1379790659780 is an abundant number, since it is smaller than the sum of its proper divisors (1761617257756).

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

1379790659780 is a wasteful number, since it uses less digits than its factorization.

1379790659780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11833 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 71.

The spelling of 1379790659780 in words is "one trillion, three hundred seventy-nine billion, seven hundred ninety million, six hundred fifty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 5437 6217 8164 10205 10874 12434 20410 21748 24868 27185 31085 40820 54370 62170 70681 80821 108740 124340 141362 161642 282724 323284 353405 404105 706810 808210 853609 976069 1413620 1616420 1707218 1952138 3414436 3904276 4268045 4880345 8536090 9760690 11096917 12688897 17072180 19521380 22193834 25377794 33801829 44387668 50755588 55484585 63444485 67603658 110969170 126888970 135207316 169009145 221938340 253777940 338018290 439423777 676036580 878847554 1757695108 2197118885 4394237770 5306887153 8788475540 10613774306 21227548612 26534435765 53068871530 68989532989 106137743060 137979065978 275958131956 344947664945 689895329890 1379790659780