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39378316341 = 3731321271783
BaseRepresentation
bin100100101011001000…
…010110110000110101
310202122100020201211210
4210223020112300311
51121121322110331
630031245552033
72562555111000
oct445310266065
9122570221753
1039378316341
111577803a9a1
12776b875619
133937334100
141c97bbc537
151057134446
hex92b216c35

39378316341 has 96 divisors (see below), whose sum is σ = 66861465600. Its totient is φ = 20595871296.

The previous prime is 39378316291. The next prime is 39378316349. The reversal of 39378316341 is 14361387393.

It is not a de Polignac number, because 39378316341 - 27 = 39378316213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39378316349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22084536 + ... + 22086318.

It is an arithmetic number, because the mean of its divisors is an integer number (696473600).

Almost surely, 239378316341 is an apocalyptic number.

It is an amenable number.

39378316341 is a deficient number, since it is larger than the sum of its proper divisors (27483149259).

39378316341 is a wasteful number, since it uses less digits than its factorization.

39378316341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1933 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The spelling of 39378316341 in words is "thirty-nine billion, three hundred seventy-eight million, three hundred sixteen thousand, three hundred forty-one".

Divisors: 1 3 7 13 21 39 49 91 127 147 169 273 343 381 507 637 889 1029 1183 1651 1783 1911 2667 3549 4459 4953 5349 6223 8281 11557 12481 13377 18669 21463 23179 24843 34671 37443 43561 57967 64389 69537 80899 87367 130683 150241 162253 173901 226441 242697 262101 301327 450723 486759 566293 611569 679323 903981 1051687 1135771 1585087 1698879 1834707 2109289 2943733 3155061 3407313 4755261 6327867 7361809 7950397 8831199 11095609 14765023 20606131 22085427 23851191 33286827 38268529 44295069 61818393 77669263 103355161 114805587 144242917 233007789 267879703 310065483 432728751 803639109 1009700419 1875157921 3029101257 5625473763 13126105447 39378316341