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11357443216 = 247314779881
BaseRepresentation
bin10101001001111010…
…01101010010010000
31002022112000220011001
422210331031102100
5141230001140331
65114553231344
7551306450230
oct124475152220
932275026131
1011357443216
1148a8a87209
12224b702554
1310bccb8702
1479a557cc0
15467148561
hex2a4f4d490

11357443216 has 160 divisors (see below), whose sum is σ = 26878279680. Its totient is φ = 4546713600.

The previous prime is 11357443189. The next prime is 11357443231. The reversal of 11357443216 is 61234475311.

It is a happy number.

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, 12891096 + ... + 12891976.

It is an arithmetic number, because the mean of its divisors is an integer number (167989248).

Almost surely, 211357443216 is an apocalyptic number.

11357443216 is a gapful number since it is divisible by the number (16) 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 11357443216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439139840).

11357443216 is an abundant number, since it is smaller than the sum of its proper divisors (15520836464).

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

11357443216 is a wasteful number, since it uses less digits than its factorization.

11357443216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1047 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The spelling of 11357443216 in words is "eleven billion, three hundred fifty-seven million, four hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 47 56 62 79 94 112 124 158 188 217 248 316 329 376 434 496 553 632 658 752 868 881 1106 1264 1316 1457 1736 1762 2212 2449 2632 2914 3472 3524 3713 4424 4898 5264 5828 6167 7048 7426 8848 9796 10199 11656 12334 14096 14852 17143 19592 20398 23312 24668 25991 27311 29704 34286 39184 40796 41407 49336 51982 54622 59408 68572 69599 81592 82814 98672 103964 109244 115103 137144 139198 163184 165628 191177 207928 218488 230206 274288 278396 289849 331256 382354 415856 436976 460412 487193 556792 579698 662512 764708 805721 920824 974386 1113584 1159396 1283617 1529416 1611442 1841648 1948772 2157569 2318792 2567234 3058832 3222884 3271153 3897544 4315138 4637584 5134468 6445768 6542306 7795088 8630276 8985319 10268936 12891536 13084612 15102983 17260552 17970638 20537872 22898071 26169224 30205966 34521104 35941276 45796142 52338448 60411932 71882552 91592284 101405743 120823864 143765104 183184568 202811486 241647728 366369136 405622972 709840201 811245944 1419680402 1622491888 2839360804 5678721608 11357443216