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10016229983232 = 210311226946211
BaseRepresentation
bin1001000111000001010111…
…0101001000010000000000
31022110112122021210211022110
42101300111311020100000
52303101214333430412
633145220441535320
72052435342050544
oct221602565102000
938415567724273
1010016229983232
11321194a780700
1211592671a4540
135786ac7661b5
14268b06849a24
15125829c16d3c
hex91c15d48400

10016229983232 has 132 divisors (see below), whose sum is σ = 29344532652848. Its totient is φ = 3035221094400.

The previous prime is 10016229983203. The next prime is 10016229983237. The reversal of 10016229983232 is 23238992261001.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×100162299832322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10016229983237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13101394 + ... + 13844817.

Almost surely, 210016229983232 is an apocalyptic number.

10016229983232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10016229983232 is an abundant number, since it is smaller than the sum of its proper divisors (19328302669616).

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

10016229983232 is a wasteful number, since it uses less digits than its factorization.

10016229983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26946256 (or 26946227 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 10016229983232 in words is "ten trillion, sixteen billion, two hundred twenty-nine million, nine hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1536 1936 2112 2816 2904 3072 3872 4224 5632 5808 7744 8448 11264 11616 15488 16896 23232 30976 33792 46464 61952 92928 123904 185856 371712 26946211 53892422 80838633 107784844 161677266 215569688 296408321 323354532 431139376 592816642 646709064 862278752 889224963 1185633284 1293418128 1724557504 1778449926 2371266568 2586836256 3260491531 3449115008 3556899852 4742533136 5173672512 6520983062 6898230016 7113799704 9485066272 9781474593 10347345024 13041966124 13796460032 14227599408 18970132544 19562949186 20694690048 26083932248 27592920064 28455198816 37940265088 39125898372 41389380096 52167864496 56910397632 75880530176 78251796744 82778760192 104335728992 113820795264 151761060352 156503593488 208671457984 227641590528 303522120704 313007186976 417342915968 455283181056 626014373952 834685831936 910566362112 1252028747904 1669371663872 2504057495808 3338743327744 5008114991616 10016229983232