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12951748608 = 218343383
BaseRepresentation
bin11000000111111110…
…00000000000000000
31020102121222222222220
430003333000000000
5203011121423413
65541104531040
7635646022011
oct140377000000
936377888886
1012951748608
115546a19477
122615620a80
1312b53a9496
148ac1a9008
1550c0c0223
hex303fc0000

12951748608 has 152 divisors (see below), whose sum is σ = 35433412608. Its totient is φ = 4205838336.

The previous prime is 12951748597. The next prime is 12951748619. The reversal of 12951748608 is 80684715921.

It is an interprime number because it is at equal distance from previous prime (12951748597) and next prime (12951748619).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33816385 + ... + 33816767.

Almost surely, 212951748608 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 12951748608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17716706304).

12951748608 is an abundant number, since it is smaller than the sum of its proper divisors (22481664000).

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

12951748608 is an frugal number, since it uses more digits than its factorization.

12951748608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 12951748608 in words is "twelve billion, nine hundred fifty-one million, seven hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 383 384 512 516 688 766 768 1024 1032 1149 1376 1532 1536 2048 2064 2298 2752 3064 3072 4096 4128 4596 5504 6128 6144 8192 8256 9192 11008 12256 12288 16384 16469 16512 18384 22016 24512 24576 32768 32938 33024 36768 44032 49024 49152 49407 65536 65876 66048 73536 88064 98048 98304 98814 131072 131752 132096 147072 176128 196096 196608 197628 262144 263504 264192 294144 352256 392192 393216 395256 527008 528384 588288 704512 784384 786432 790512 1054016 1056768 1176576 1409024 1568768 1581024 2108032 2113536 2353152 2818048 3137536 3162048 4216064 4227072 4706304 5636096 6275072 6324096 8432128 8454144 9412608 11272192 12550144 12648192 16864256 16908288 18825216 25100288 25296384 33728512 33816576 37650432 50200576 50592768 67457024 75300864 100401152 101185536 134914048 150601728 202371072 269828096 301203456 404742144 539656192 809484288 1079312384 1618968576 2158624768 3237937152 4317249536 6475874304 12951748608