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93400588702404 = 2234172315832
BaseRepresentation
bin10101001111001010000100…
…111010010101001011000100
3110020201000020121200002210000
4111033022010322111023010
544220233401201434104
6530351345455201300
725446653441516424
oct2517120472251304
9406630217602700
1093400588702404
112783aa70413045
12a5857b0216230
13401683a0ca189
14190c881024484
15abe86c504639
hex54f284e952c4

93400588702404 has 135 divisors (see below), whose sum is σ = 259383470986717. Its totient is φ = 29301217693056.

The previous prime is 93400588702367. The next prime is 93400588702429. The reversal of 93400588702404 is 40420788500439.

The square root of 93400588702404 is 9664398.

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

93400588702404 is a `hidden beast` number, since 9 + 34 + 0 + 0 + 588 + 7 + 0 + 24 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72716721308100 + 20683867394304 = 8527410^2 + 4547952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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, 2957289997 + ... + 2957321579.

Almost surely, 293400588702404 is an apocalyptic number.

93400588702404 is the 9664398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93400588702404

93400588702404 is an abundant number, since it is smaller than the sum of its proper divisors (165982882284313).

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

93400588702404 is an frugal number, since it uses more digits than its factorization.

93400588702404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63216 (or 31605 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 93400588702404 in words is "ninety-three trillion, four hundred billion, five hundred eighty-eight million, seven hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 31212 31583 46818 63166 93636 94749 126332 189498 284247 378996 536911 568494 852741 1073822 1136988 1610733 1705482 2147644 2558223 3221466 3410964 4832199 5116446 6442932 9127487 9664398 10232892 14496597 18254974 19328796 27382461 28993194 36509948 43489791 54764922 57986388 82147383 86979582 109529844 164294766 173959164 246442149 328589532 492884298 739326447 985768596 997485889 1478652894 1994971778 2957305788 2992457667 3989943556 5984915334 8977373001 11969830668 16957260113 17954746002 26932119003 33914520226 35909492004 50871780339 53864238006 67829040452 80796357009 101743560678 107728476012 152615341017 161592714018 203487121356 288273421921 305230682034 323185428036 457846023051 576546843842 610461364068 864820265763 915692046102 1153093687684 1373538069153 1729640531526 1831384092204 2594460797289 2747076138306 3459281063052 5188921594578 5494152276612 7783382391867 10377843189156 15566764783734 23350147175601 31133529567468 46700294351202 93400588702404