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1382906870904 = 2331319725938677
BaseRepresentation
bin10100000111111011101…
…011000011110001111000
311220012112011020212110110
4110013323223003301320
5140124143124332104
62535144301344320
7201624502311306
oct24077353036170
94805464225413
101382906870904
1149353a970419
121a40248680a0
13a053b5374c0
144ad0c407276
1525e8c6dde89
hex141fbac3c78

1382906870904 has 128 divisors (see below), whose sum is σ = 3743984946240. Its totient is φ = 423137820672.

The previous prime is 1382906870903. The next prime is 1382906870921. The reversal of 1382906870904 is 4090786092831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382906870903) 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, 159371814 + ... + 159380490.

Almost surely, 21382906870904 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 1382906870904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871992473120).

1382906870904 is an abundant number, since it is smaller than the sum of its proper divisors (2361078075336).

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

1382906870904 is a wasteful number, since it uses less digits than its factorization.

1382906870904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11489 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1382906870904 in words is "one trillion, three hundred eighty-two billion, nine hundred six million, eight hundred seventy thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 197 312 394 591 788 1182 1576 2364 2561 2593 4728 5122 5186 7683 7779 8677 10244 10372 15366 15558 17354 20488 20744 26031 30732 31116 33709 34708 52062 61464 62232 67418 69416 101127 104124 112801 134836 202254 208248 225602 269672 338403 404508 451204 510821 676806 809016 902408 1021642 1353612 1532463 1709369 2043284 2707224 3064926 3418738 4086568 5128107 6129852 6640673 6837476 10256214 12259704 13281346 13674952 19922019 20512428 22221797 22499461 26562692 39844038 41024856 44443594 44998922 53125384 66665391 67498383 79688076 88887188 89997844 133330782 134996766 159376152 177774376 179995688 266661564 269993532 292492993 533323128 539987064 584985986 877478979 1169971972 1754957958 2339943944 3509915916 4432393817 7019831832 8864787634 13297181451 17729575268 26594362902 35459150536 53188725804 57621119621 106377451608 115242239242 172863358863 230484478484 345726717726 460968956968 691453435452 1382906870904