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100266772992 = 29331267927
BaseRepresentation
bin101110101100001011…
…1011000101000000000
3100120210202121210222220
41131120113120220000
53120321243213432
6114021212531040
710146463336221
oct1353027305000
9316722553886
10100266772992
1139582a85651
1217523180a80
1395bbb75799
144bd2665248
15291c88372c
hex17585d8a00

100266772992 has 120 divisors (see below), whose sum is σ = 276015646368. Its totient is φ = 32343644160.

The previous prime is 100266772981. The next prime is 100266773053. The reversal of 100266772992 is 299277662001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1442133 + ... + 1510059.

Almost surely, 2100266772992 is an apocalyptic number.

100266772992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100266772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138007823184).

100266772992 is an abundant number, since it is smaller than the sum of its proper divisors (175748873376).

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

100266772992 is an frugal number, since it uses more digits than its factorization.

100266772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68010 (or 67963 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 100266772992 in words is "one hundred billion, two hundred sixty-six million, seven hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 961 992 1488 1536 1922 1984 2883 2976 3844 3968 5766 5952 7688 7936 11532 11904 15376 15872 23064 23808 30752 46128 47616 61504 67927 92256 123008 135854 184512 203781 246016 271708 369024 407562 492032 543416 738048 815124 1086832 1476096 1630248 2105737 2173664 3260496 4211474 4347328 6317211 6520992 8422948 8694656 12634422 13041984 16845896 17389312 25268844 26083968 33691792 34778624 50537688 52167936 65277847 67383584 101075376 104335872 130555694 134767168 195833541 202150752 261111388 269534336 391667082 404301504 522222776 539068672 783334164 808603008 1044445552 1078137344 1566668328 1617206016 2088891104 3133336656 3234412032 4177782208 6266673312 8355564416 12533346624 16711128832 25066693248 33422257664 50133386496 100266772992