Search a number
-
+
535225154211312 = 24394129123406883
BaseRepresentation
bin111100110110010001101000…
…1001100010000110111110000
32121012002000200020202112210020
41321230203101030100313300
51030123112103434230222
65134155012541403440
7220510512161464305
oct17154432114206760
92535060606675706
10535225154211312
111455a2793296874
1250042279269580
1319c85691664566
14962506dcbb0ac
1541d267b85265c
hex1e6c8d1310df0

535225154211312 has 80 divisors (see below), whose sum is σ = 1384185267865728. Its totient is φ = 178212232764160.

The previous prime is 535225154211263. The next prime is 535225154211317. The reversal of 535225154211312 is 213112451522535.

It is a super-2 number, since 2×5352251542113122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535225154211317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315224223 + ... + 1315631105.

Almost surely, 2535225154211312 is an apocalyptic number.

It is an amenable number.

535225154211312 is an abundant number, since it is smaller than the sum of its proper divisors (848960113654416).

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

535225154211312 is a wasteful number, since it uses less digits than its factorization.

535225154211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436958 (or 436952 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 535225154211312 in words is "five hundred thirty-five trillion, two hundred twenty-five billion, one hundred fifty-four million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 941 1882 2823 3764 5646 7528 11292 15056 22584 29123 45168 58246 87369 116492 174738 232984 349476 406883 465968 698952 813766 1220649 1397904 1627532 2441298 3255064 4882596 6510128 9765192 19530384 27404743 54809486 82214229 109618972 164428458 219237944 328856916 382876903 438475888 657713832 765753806 1148630709 1315427664 1531507612 2297261418 3063015224 4594522836 6126030448 9189045672 11849653609 18378091344 23699307218 35548960827 47398614436 71097921654 94797228872 142195843308 189594457744 284391686616 568783373232 11150524046069 22301048092138 33451572138207 44602096184276 66903144276414 89204192368552 133806288552828 178408384737104 267612577105656 535225154211312