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3971828929348 = 22721743103269141
BaseRepresentation
bin111001110011000011011…
…100111101001101000100
3112001200222120212000222001
4321303003130331031010
51010033301201214343
612240344422115044
7556645423600600
oct71630334751504
915050876760861
103971828929348
1112a14969812a5
1254192557ba84
1322a707612267
14da347b7c500
156d4b2c0144d
hex39cc373d344

3971828929348 has 144 divisors (see below), whose sum is σ = 8845306614144. Its totient is φ = 1549626301440.

The previous prime is 3971828929307. The next prime is 3971828929351. The reversal of 3971828929348 is 8439298281793.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14622858 + ... + 14891998.

It is an arithmetic number, because the mean of its divisors is an integer number (61425740376).

Almost surely, 23971828929348 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 3971828929348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422653307072).

3971828929348 is an abundant number, since it is smaller than the sum of its proper divisors (4873477684796).

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

3971828929348 is a wasteful number, since it uses less digits than its factorization.

3971828929348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269322 (or 269313 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 73.

The spelling of 3971828929348 in words is "three trillion, nine hundred seventy-one billion, eight hundred twenty-eight million, nine hundred twenty-nine thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 49 68 86 98 103 119 172 196 206 238 301 412 476 602 721 731 833 1204 1442 1462 1666 1751 2107 2884 2924 3332 3502 4214 4429 5047 5117 7004 8428 8858 10094 10234 12257 17716 20188 20468 24514 31003 35819 49028 62006 71638 75293 85799 124012 143276 150586 171598 217021 269141 301172 343196 434042 527051 538282 868084 1054102 1076564 1883987 2108204 3689357 3767974 4575397 7378714 7535948 9150794 11573063 13187909 14757428 18301588 23146126 26375818 27721523 32027779 46292252 52751636 55443046 64055558 81011441 110886092 128111116 162022882 194050661 196742071 224194453 324045764 388101322 393484142 448388906 471265891 567080087 776202644 786968284 896777812 942531782 1134160174 1192025489 1358354627 1377194497 1885063564 2268320348 2384050978 2716709254 2754388994 3298861237 4768101956 5433418508 5508777988 6597722474 8344178423 9640361479 13195444948 16688356846 19280722958 20264433313 23092028659 33376713692 38561445916 40528866626 46184057318 58409248961 81057733252 92368114636 116818497922 141851033191 233636995844 283702066382 567404132764 992957232337 1985914464674 3971828929348