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133430101536 = 2532989538511
BaseRepresentation
bin111110001000100001…
…1011100011000100000
3110202101222021110100110
41330101003130120200
54141231101222121
6141144050051320
712432344102244
oct1742103343040
9422358243313
10133430101536
11516508a5196
1221a39579b40
13c775709904
14665ac70424
15370e064d76
hex1f110dc620

133430101536 has 96 divisors (see below), whose sum is σ = 366403564800. Its totient is φ = 42460436480.

The previous prime is 133430101501. The next prime is 133430101589. The reversal of 133430101536 is 635101034331.

It is a tau number, because it is divible by the number of its divisors (96).

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, 21480 + ... + 517031.

It is an arithmetic number, because the mean of its divisors is an integer number (3816703800).

Almost surely, 2133430101536 is an apocalyptic number.

133430101536 is a gapful number since it is divisible by the number (16) 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 133430101536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183201782400).

133430101536 is an abundant number, since it is smaller than the sum of its proper divisors (232973463264).

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

133430101536 is a wasteful number, since it uses less digits than its factorization.

133430101536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538642 (or 538634 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 133430101536 its reverse (635101034331), we get a palindrome (768531135867).

The spelling of 133430101536 in words is "one hundred thirty-three billion, four hundred thirty million, one hundred one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 89 96 116 174 178 232 267 348 356 464 534 696 712 928 1068 1392 1424 2136 2581 2784 2848 4272 5162 7743 8544 10324 15486 20648 30972 41296 61944 82592 123888 247776 538511 1077022 1615533 2154044 3231066 4308088 6462132 8616176 12924264 15616819 17232352 25848528 31233638 46850457 47927479 51697056 62467276 93700914 95854958 124934552 143782437 187401828 191709916 249869104 287564874 374803656 383419832 499738208 575129748 749607312 766839664 1150259496 1389896891 1499214624 1533679328 2300518992 2779793782 4169690673 4601037984 5559587564 8339381346 11119175128 16678762692 22238350256 33357525384 44476700512 66715050768 133430101536