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210442133402432 = 26101101111321983
BaseRepresentation
bin101111110110010101100000…
…100110110111001101000000
31000121010001221002212021211222
4233312111200212313031000
5210040340442122334212
62023323440443454212
762216641146620111
oct5766254046671500
91017101832767758
10210442133402432
116106500a0aa608
121b729118827368
1390567b9abc699
1439d764c986208
15194e139826c72
hexbf65609b7340

210442133402432 has 56 divisors (see below), whose sum is σ = 421736204178432. Its totient is φ = 104177920064000.

The previous prime is 210442133402239. The next prime is 210442133402503. The reversal of 210442133402432 is 234204331244012.

It is a happy number.

210442133402432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 210442133402392 and 210442133402401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653420513 + ... + 653742495.

Almost surely, 2210442133402432 is an apocalyptic number.

It is an amenable number.

210442133402432 is an abundant number, since it is smaller than the sum of its proper divisors (211294070776000).

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

210442133402432 is a wasteful number, since it uses less digits than its factorization.

210442133402432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423207 (or 423197 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 210442133402432 its reverse (234204331244012), we get a palindrome (444646464646444).

The spelling of 210442133402432 in words is "two hundred ten trillion, four hundred forty-two billion, one hundred thirty-three million, four hundred two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 3232 6464 101111 202222 321983 404444 643966 808888 1287932 1617776 2575864 3235552 5151728 6471104 10212211 10303456 20424422 20606912 32520283 40848844 65040566 81697688 130081132 163395376 260162264 326790752 520324528 653581504 1040649056 2081298112 32556023113 65112046226 130224092452 260448184904 520896369808 1041792739616 2083585479232 3288158334413 6576316668826 13152633337652 26305266675304 52610533350608 105221066701216 210442133402432