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46355487816 = 233112343117713
BaseRepresentation
bin101011001011000000…
…001001110001001000
311102122121000202210010
4223023000021301020
51224414001102231
633143450551520
73230506100541
oct531300116110
9142577022703
1046355487816
1118728512110
128b984385a0
1344a99a6341
14235a6b54c8
15131493e546
hexacb009c48

46355487816 has 128 divisors (see below), whose sum is σ = 132234301440. Its totient is φ = 13404441600.

The previous prime is 46355487811. The next prime is 46355487863. The reversal of 46355487816 is 61878455364.

It is not an unprimeable number, because it can be changed into a prime (46355487811) 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 31 ways as a sum of consecutive naturals, for example, 2608176 + ... + 2625888.

It is an arithmetic number, because the mean of its divisors is an integer number (1033080480).

Almost surely, 246355487816 is an apocalyptic number.

46355487816 is a gapful number since it is divisible by the number (46) 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 46355487816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66117150720).

46355487816 is an abundant number, since it is smaller than the sum of its proper divisors (85878813624).

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

46355487816 is a wasteful number, since it uses less digits than its factorization.

46355487816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18187 (or 18183 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 46355487816 in words is "forty-six billion, three hundred fifty-five million, four hundred eighty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 431 506 552 759 862 1012 1293 1518 1724 2024 2586 3036 3448 4741 5172 6072 9482 9913 10344 14223 17713 18964 19826 28446 29739 35426 37928 39652 53139 56892 59478 70852 79304 106278 109043 113784 118956 141704 194843 212556 218086 237912 327129 389686 407399 425112 436172 584529 654258 779372 814798 872344 1169058 1222197 1308516 1558744 1629596 2338116 2444394 2617032 3259192 4481389 4676232 4888788 7634303 8962778 9777576 13444167 15268606 17925556 22902909 26888334 30537212 35851112 45805818 53776668 61074424 83977333 91611636 107553336 167954666 175588969 183223272 251931999 335909332 351177938 503863998 526766907 671818664 702355876 1007727996 1053533814 1404711752 1931478659 2015455992 2107067628 3862957318 4214135256 5794435977 7725914636 11588871954 15451829272 23177743908 46355487816