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30996987648 = 283115962189
BaseRepresentation
bin11100110111100100…
…000111111100000000
32222000020022010022120
4130313210013330000
51001440212101043
622123445004240
72145064022244
oct346744077400
988006263276
1030996987648
1112166a9a670
1260109b3680
132bccab9113
141700a10424
15c16412983
hex737907f00

30996987648 has 144 divisors (see below), whose sum is σ = 91523779200. Its totient is φ = 9233674240.

The previous prime is 30996987617. The next prime is 30996987653. The reversal of 30996987648 is 84678969903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467338 + ... + 529526.

It is an arithmetic number, because the mean of its divisors is an integer number (635581800).

Almost surely, 230996987648 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 30996987648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45761889600).

30996987648 is an abundant number, since it is smaller than the sum of its proper divisors (60526791552).

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

30996987648 is a wasteful number, since it uses less digits than its factorization.

30996987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62278 (or 62264 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 30996987648 in words is "thirty billion, nine hundred ninety-six million, nine hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 528 649 704 708 768 944 1056 1298 1408 1416 1888 1947 2112 2596 2816 2832 3776 3894 4224 5192 5664 7552 7788 8448 10384 11328 15104 15576 20768 22656 31152 41536 45312 62189 62304 83072 124378 124608 166144 186567 248756 249216 373134 497512 498432 684079 746268 995024 1368158 1492536 1990048 2052237 2736316 2985072 3669151 3980096 4104474 5472632 5970144 7338302 7960192 8208948 10945264 11007453 11940288 14676604 15920384 16417896 21890528 22014906 23880576 29353208 32835792 40360661 43781056 44029812 47761152 58706416 65671584 80721322 87562112 88059624 117412832 121081983 131343168 161442644 175124224 176119248 234825664 242163966 262686336 322885288 352238496 469651328 484327932 525372672 645770576 704476992 939302656 968655864 1291541152 1408953984 1937311728 2583082304 2817907968 3874623456 5166164608 7749246912 10332329216 15498493824 30996987648