Search a number
-
+
46018634811432 = 23319892381476233
BaseRepresentation
bin10100111011010100011000…
…11000011000100000101000
320000221100010210011001210220
422131222030120120200220
522012432131002431212
6241512400300010040
712456510445614213
oct1235521430304050
9200840123131726
1046018634811432
1113732436714128
1251b2877830920
131c8a7005216aa
14b5145714077a
1554c0b4b5538c
hex29da8c618828

46018634811432 has 128 divisors (see below), whose sum is σ = 122514053904000. Its totient is φ = 14362852331520.

The previous prime is 46018634811407. The next prime is 46018634811481. The reversal of 46018634811432 is 23411843681064.

It is a super-2 number, since 2×460186348114322 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96392388 + ... + 96868620.

It is an arithmetic number, because the mean of its divisors is an integer number (957141046125).

Almost surely, 246018634811432 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 46018634811432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61257026952000).

46018634811432 is an abundant number, since it is smaller than the sum of its proper divisors (76495419092568).

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

46018634811432 is a wasteful number, since it uses less digits than its factorization.

46018634811432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478731 (or 478727 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 46018634811432 in words is "forty-six trillion, eighteen billion, six hundred thirty-four million, eight hundred eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 114 152 178 228 267 356 456 534 712 1068 1691 2136 2381 3382 4762 5073 6764 7143 9524 10146 13528 14286 19048 20292 28572 40584 45239 57144 90478 135717 180956 211909 271434 361912 423818 476233 542868 635727 847636 952466 1085736 1271454 1428699 1695272 1904932 2542908 2857398 3809864 4026271 5085816 5714796 8052542 9048427 11429592 12078813 16105084 18096854 24157626 27145281 32210168 36193708 42384737 48315252 54290562 72387416 84769474 96630504 108581124 127154211 169538948 217162248 254308422 339077896 508616844 805310003 1017233688 1133910773 1610620006 2267821546 2415930009 3221240012 3401732319 4535643092 4831860018 6442480024 6803464638 9071286184 9663720036 13606929276 19327440072 21544304687 27213858552 43088609374 64632914061 86177218748 100918058797 129265828122 172354437496 201836117594 258531656244 302754176391 403672235188 517063312488 605508352782 807344470376 1211016705564 1917443117143 2422033411128 3834886234286 5752329351429 7669772468572 11504658702858 15339544937144 23009317405716 46018634811432