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126315867648 = 2933111632281
BaseRepresentation
bin111010110100100000…
…0110010111000000000
3110002001011120221010110
41311221000302320000
54032143330231043
6134010111231320
712061140105465
oct1655100627000
9402034527113
10126315867648
1149630017a53
1220592b18540
13bbb0848469
14618409966c
1534446d3b33
hex1d69032e00

126315867648 has 160 divisors (see below), whose sum is σ = 347819738112. Its totient is φ = 40694169600.

The previous prime is 126315867593. The next prime is 126315867677. The reversal of 126315867648 is 846768513621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55376268 + ... + 55378548.

Almost surely, 2126315867648 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 126315867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173909869056).

126315867648 is an abundant number, since it is smaller than the sum of its proper divisors (221503870464).

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

126315867648 is a wasteful number, since it uses less digits than its factorization.

126315867648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3496 (or 3480 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The spelling of 126315867648 in words is "one hundred twenty-six billion, three hundred fifteen million, eight hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1163 1488 1536 1984 2281 2326 2976 3489 3968 4562 4652 5952 6843 6978 7936 9124 9304 11904 13686 13956 15872 18248 18608 23808 27372 27912 36053 36496 37216 47616 54744 55824 70711 72106 72992 74432 108159 109488 111648 141422 144212 145984 148864 212133 216318 218976 223296 282844 288424 291968 297728 424266 432636 437952 446592 565688 576848 583936 595456 848532 865272 875904 893184 1131376 1153696 1167872 1697064 1730544 1751808 1786368 2262752 2307392 2652803 3394128 3461088 3503616 4525504 4614784 5305606 6788256 6922176 7958409 9051008 9229568 10611212 13576512 13844352 15916818 18102016 18459136 21222424 27153024 27688704 31833636 36204032 42444848 54306048 55377408 63667272 82236893 84889696 108612096 127334544 164473786 169779392 246710679 254669088 328947572 339558784 493421358 509338176 657895144 679117568 986842716 1018676352 1315790288 1358235136 1973685432 2037352704 2631580576 3947370864 4074705408 5263161152 7894741728 10526322304 15789483456 21052644608 31578966912 42105289216 63157933824 126315867648