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46265542216544 = 2571373917384889
BaseRepresentation
bin10101000010100000010010…
…01101011000101101100000
320001210221110011222211021202
422201100021031120231200
522031003312301412134
6242222032514340332
712513401160130310
oct1241201115305540
9201727404884252
1046265542216544
1113818119494032
1252326a458a6a8
131ca7a8b978c81
14b5d39ad25440
155537161d9d7e
hex2a1409358b60

46265542216544 has 96 divisors (see below), whose sum is σ = 104884347839040. Its totient is φ = 19678282702848.

The previous prime is 46265542216541. The next prime is 46265542216589. The reversal of 46265542216544 is 44561224556264.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 46265542216544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46265542216541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120012452 + ... + 120397340.

It is an arithmetic number, because the mean of its divisors is an integer number (1092545289990).

Almost surely, 246265542216544 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 46265542216544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52442173919520).

46265542216544 is an abundant number, since it is smaller than the sum of its proper divisors (58618805622496).

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

46265542216544 is a wasteful number, since it uses less digits than its factorization.

46265542216544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388960 (or 388952 counting only the distinct ones).

The product of its digits is 55296000, while the sum is 56.

The spelling of 46265542216544 in words is "forty-six trillion, two hundred sixty-five billion, five hundred forty-two million, two hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 959 1096 1918 2192 3836 3917 4384 7672 7834 15344 15668 27419 30688 31336 54838 62672 109676 125344 219352 384889 438704 536629 769778 877408 1073258 1539556 2146516 2694223 3079112 3756403 4293032 5388446 6158224 7512806 8586064 10776892 12316448 15025612 17172128 21553784 30051224 43107568 52729793 60102448 86215136 105459586 120204896 210919172 369108551 421838344 738217102 843676688 1476434204 1507610213 1687353376 2952868408 3015220426 5905736816 6030440852 10553271491 11811473632 12060881704 21106542982 24121763408 42213085964 48243526816 84426171928 168852343856 206542599181 337704687712 413085198362 826170396724 1445798194267 1652340793448 2891596388534 3304681586896 5783192777068 6609363173792 11566385554136 23132771108272 46265542216544