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38697911808 = 293294571901
BaseRepresentation
bin100100000010100100…
…110100011000000000
310200212220221121021220
4210002210310120000
51113223131134213
625435542315040
72536653552213
oct440244643000
9120786847256
1038697911808
1115458a649a6
1275bba28a80
133859395c8a
141c316a577a
151017532e23
hex902934600

38697911808 has 160 divisors (see below), whose sum is σ = 106938200160. Its totient is φ = 12420710400.

The previous prime is 38697911803. The next prime is 38697911831. The reversal of 38697911808 is 80811979683.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38697911803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20355658 + ... + 20357558.

It is an arithmetic number, because the mean of its divisors is an integer number (668363751).

Almost surely, 238697911808 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 38697911808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53469100080).

38697911808 is an abundant number, since it is smaller than the sum of its proper divisors (68240288352).

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

38697911808 is a wasteful number, since it uses less digits than its factorization.

38697911808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 38697911808 in words is "thirty-eight billion, six hundred ninety-seven million, nine hundred eleven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 457 464 512 696 768 914 928 1371 1392 1536 1828 1856 1901 2742 2784 3656 3712 3802 5484 5568 5703 7312 7424 7604 10968 11136 11406 13253 14624 14848 15208 21936 22272 22812 26506 29248 30416 39759 43872 44544 45624 53012 55129 58496 60832 79518 87744 91248 106024 110258 116992 121664 159036 165387 175488 182496 212048 220516 233984 243328 318072 330774 350976 364992 424096 441032 486656 636144 661548 701952 729984 848192 868757 882064 973312 1272288 1323096 1459968 1696384 1737514 1764128 2544576 2606271 2646192 2919936 3392768 3475028 3528256 5089152 5212542 5292384 6785536 6950056 7056512 10178304 10425084 10584768 13900112 14113024 20356608 20850168 21169536 25193953 27800224 28226048 41700336 42339072 50387906 55600448 75581859 83400672 84678144 100775812 111200896 151163718 166801344 201551624 222401792 302327436 333602688 403103248 444803584 604654872 667205376 806206496 1209309744 1334410752 1612412992 2418619488 3224825984 4837238976 6449651968 9674477952 12899303936 19348955904 38697911808