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46842260553 = 3411317921467
BaseRepresentation
bin101011101000000001…
…000010110001001001
311110220111222101110000
4223220001002301021
51231413104314203
633304040113213
73245536434204
oct535001026111
9143814871400
1046842260553
1118958264730
1290b3465809
1345567a994a
1423a51c693b
1513425434a3
hexae8042c49

46842260553 has 80 divisors (see below), whose sum is σ = 79799132160. Its totient is φ = 27124437600.

The previous prime is 46842260533. The next prime is 46842260557. The reversal of 46842260553 is 35506224864.

It is not a de Polignac number, because 46842260553 - 29 = 46842260041 is a prime.

It is a hoax number, since the sum of its digits (45) 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 = 46842260499 and 46842260508.

It is not an unprimeable number, because it can be changed into a prime (46842260557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2171326 + ... + 2192792.

It is an arithmetic number, because the mean of its divisors is an integer number (997489152).

Almost surely, 246842260553 is an apocalyptic number.

It is an amenable number.

46842260553 is a deficient number, since it is larger than the sum of its proper divisors (32956871607).

46842260553 is a wasteful number, since it uses less digits than its factorization.

46842260553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 46842260553 in words is "forty-six billion, eight hundred forty-two million, two hundred sixty thousand, five hundred fifty-three".

Divisors: 1 3 9 11 27 31 33 79 81 93 99 237 279 297 341 711 837 869 891 1023 2133 2449 2511 2607 3069 6399 7347 7821 9207 21467 22041 23463 26939 27621 64401 66123 70389 80817 193203 198369 236137 242451 579609 665477 708411 727353 1695893 1738827 1996431 2125233 2182059 5087679 5989293 6375699 7320247 15263037 17967879 18654823 19127097 21960741 45789111 52572683 53903637 55964469 65882223 137367333 157718049 167893407 197646669 473154147 503680221 578299513 592940007 1419462441 1511040663 1734898539 4258387323 5204695617 15614086851 46842260553