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46887352384356 = 2234112345832
BaseRepresentation
bin10101010100100110011111…
…11110111011101101100100
320011000101110012112012110000
422222103033332323231210
522121200244202244411
6243415430300301300
712606333205265361
oct1252231776735544
9204011405465400
1046887352384356
1113a378a6085500
1253130bb541830
1320215c6021203
14b81507a53468
155649aab89956
hex2aa4cffbbb64

46887352384356 has 135 divisors (see below), whose sum is σ = 134732677001923. Its totient is φ = 14207877755280.

The previous prime is 46887352384349. The next prime is 46887352384363. The reversal of 46887352384356 is 65348325378864.

The square root of 46887352384356 is 6847434.

It is a perfect power (a square), and thus also a powerful number.

46887352384356 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 7 + 3 + 523 + 8 + 43 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (46887352384349) and next prime (46887352384363).

It is a super-2 number, since 2×468873523843562 (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 44 ways as a sum of consecutive naturals, for example, 1355774641 + ... + 1355809223.

Almost surely, 246887352384356 is an apocalyptic number.

46887352384356 is the 6847434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46887352384356

46887352384356 is an abundant number, since it is smaller than the sum of its proper divisors (87845324617567).

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

46887352384356 is an frugal number, since it uses more digits than its factorization.

46887352384356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69204 (or 34599 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 72.

The spelling of 46887352384356 in words is "forty-six trillion, eight hundred eighty-seven billion, three hundred fifty-two million, three hundred eighty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 19602 34583 39204 69166 103749 138332 207498 311247 380413 414996 622494 760826 933741 1141239 1244988 1521652 1867482 2282478 2801223 3423717 3734964 4184543 4564956 5602446 6847434 8369086 10271151 11204892 12553629 13694868 16738172 20542302 25107258 30813453 37660887 41084604 50214516 61626906 75321774 112982661 123253812 150643548 225965322 338947983 451930644 677895966 1195983889 1355791932 2391967778 3587951667 4783935556 7175903334 10763855001 13155822779 14351806668 21527710002 26311645558 32291565003 39467468337 43055420004 52623291116 64583130006 78934936674 96874695009 118402405011 129166260012 144714050569 157869873348 193749390018 236804810022 289428101138 355207215033 387498780036 434142151707 473609620044 578856202276 710414430066 868284303414 1065621645099 1302426455121 1420828860132 1736568606828 2131243290198 2604852910242 3907279365363 4262486580396 5209705820484 7814558730726 11721838096089 15629117461452 23443676192178 46887352384356