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30653353984 = 212112127487
BaseRepresentation
bin11100100011000101…
…010001000000000000
32221010021200201112211
4130203011101000000
51000234224311414
622025411431504
72133422131651
oct344305210000
987107621484
1030653353984
1112000023600
125b358b5594
132b768518a6
1416ab11d528
15be61853c4
hex723151000

30653353984 has 156 divisors (see below), whose sum is σ = 68048468992. Its totient is φ = 13795246080.

The previous prime is 30653353967. The next prime is 30653353993. The reversal of 30653353984 is 48935335603.

It is a super-2 number, since 2×306533539842 (a number of 22 digits) contains 22 as substring.

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, 62942989 + ... + 62943475.

Almost surely, 230653353984 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 30653353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34024234496).

30653353984 is an abundant number, since it is smaller than the sum of its proper divisors (37395115008).

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

30653353984 is a wasteful number, since it uses less digits than its factorization.

30653353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 30653353984 in words is "thirty billion, six hundred fifty-three million, three hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 127 128 176 242 254 256 352 484 487 508 512 704 968 974 1016 1024 1397 1408 1936 1948 2032 2048 2794 2816 3872 3896 4064 4096 5357 5588 5632 7744 7792 8128 10714 11176 11264 15367 15488 15584 16256 21428 22352 22528 30734 30976 31168 32512 42856 44704 45056 58927 61468 61849 61952 62336 65024 85712 89408 117854 122936 123698 123904 124672 130048 171424 178816 235708 245872 247396 247808 249344 260096 342848 357632 471416 491744 494792 495616 498688 520192 680339 685696 715264 942832 983488 989584 997376 1360678 1371392 1430528 1885664 1966976 1979168 1994752 2721356 2742784 2861056 3771328 3933952 3958336 5442712 5485568 5722112 7483729 7542656 7867904 7916672 10885424 10971136 14967458 15085312 15735808 15833344 21770848 21942272 29934916 30170624 31471616 31666688 43541696 59869832 60341248 62943232 63333376 87083392 119739664 120682496 126666752 174166784 239479328 241364992 253333504 348333568 478958656 696667136 957917312 1393334272 1915834624 2786668544 3831669248 7663338496 15326676992 30653353984