Search a number
-
+
33677968428 = 2234138219739
BaseRepresentation
bin11111010111010111…
…010000010000101100
310012221002001001120000
4133113113100100230
51022433024442203
623245455424300
72301400002606
oct372727202054
9105832031500
1033677968428
1113312376165
12663a825090
133239373990
1418b6ad2176
15d2198c4a3
hex7d75d042c

33677968428 has 120 divisors (see below), whose sum is σ = 94938468240. Its totient is φ = 10348767360.

The previous prime is 33677968427. The next prime is 33677968459. The reversal of 33677968428 is 82486977633.

It is a super-2 number, since 2×336779684282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33677968427) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3453183 + ... + 3462921.

It is an arithmetic number, because the mean of its divisors is an integer number (791153902).

Almost surely, 233677968428 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 33677968428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469234120).

33677968428 is an abundant number, since it is smaller than the sum of its proper divisors (61260499812).

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

33677968428 is a wasteful number, since it uses less digits than its factorization.

33677968428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10589 (or 10578 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 33677968428 in words is "thirty-three billion, six hundred seventy-seven million, nine hundred sixty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 821 1053 1404 1642 2106 2463 3284 4212 4926 7389 9739 9852 10673 14778 19478 21346 22167 29217 29556 32019 38956 42692 44334 58434 64038 66501 87651 88668 96057 116868 126607 128076 133002 175302 192114 253214 262953 266004 288171 350604 379821 384228 506428 525906 576342 759642 788859 864513 1051812 1139463 1152684 1519284 1577718 1729026 2278926 3155436 3418389 3458052 4557852 6836778 7995719 10255167 13673556 15991438 20510334 23987157 31982876 41020668 47974314 71961471 95948628 103944347 143922942 207888694 215884413 287845884 311833041 415777388 431768826 623666082 647653239 863537652 935499123 1247332164 1295306478 1870998246 2590612956 2806497369 3741996492 5612994738 8419492107 11225989476 16838984214 33677968428