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6042010051264 = 261137337016217
BaseRepresentation
bin101011111101100001111…
…0111001110001011000000
3210101121111001212021100211
41113323003313032023000
51242443014033120024
620503354444123504
71162343433025555
oct127730367161300
923347431767324
106042010051264
111a1a447182790
12816b94b36594
1334a9b39986b5
1416c613310a2c
15a727716a594
hex57ec3dce2c0

6042010051264 has 112 divisors (see below), whose sum is σ = 13120298063136. Its totient is φ = 2737824768000.

The previous prime is 6042010051229. The next prime is 6042010051313. The reversal of 6042010051264 is 4621500102406.

It is a happy number.

It is an unprimeable number.

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, 971849884 + ... + 971856100.

Almost surely, 26042010051264 is an apocalyptic number.

6042010051264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042010051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560149031568).

6042010051264 is an abundant number, since it is smaller than the sum of its proper divisors (7078288011872).

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

6042010051264 is a wasteful number, since it uses less digits than its factorization.

6042010051264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10314 (or 10304 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 6042010051264 in words is "six trillion, forty-two billion, ten million, fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 373 704 746 1492 2984 3701 4103 5968 6217 7402 8206 11936 12434 14804 16412 23872 24868 29608 32824 40711 49736 59216 65648 68387 81422 99472 118432 131296 136774 162844 198944 236864 262592 273548 325688 397888 547096 651376 1094192 1302752 1380473 2188384 2318941 2605504 2760946 4376768 4637882 5521892 9275764 11043784 15185203 18551528 22087568 23009117 25508351 30370406 37103056 44175136 46018234 51016702 60740812 74206112 88350272 92036468 102033404 121481624 148412224 184072936 204066808 242963248 253100287 368145872 408133616 485926496 506200574 736291744 816267232 971852992 1012401148 1472583488 1632534464 2024802296 4049604592 8099209184 8582400641 16198418368 17164801282 34329602564 68659205128 94406407051 137318410256 188812814102 274636820512 377625628204 549273641024 755251256408 1510502512816 3021005025632 6042010051264