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113476949333136 = 2432712125032
BaseRepresentation
bin11001110011010011101001…
…010000010101010010010000
3112212210021211201010120100100
4121303103221100111102100
5104333201243012130021
61041202331342452400
732621303406311034
oct3163235120252220
9485707751116310
10113476949333136
1133180338619164
1210888714894100
134b41aa453017c
1420044569401c4
15d1bbe10bc626
hex6734e9415490

113476949333136 has 135 divisors (see below), whose sum is σ = 322139542699507. Its totient is φ = 37289911431360.

The previous prime is 113476949332927. The next prime is 113476949333141. The reversal of 113476949333136 is 631333949674311.

The square root of 113476949333136 is 10652556.

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

113476949333136 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 7 + 6 + 9 + 493 + 3 + 3 + 136 = 666.

It is a super-2 number, since 2×1134769493331362 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9075971461 + ... + 9075983963.

Almost surely, 2113476949333136 is an apocalyptic number.

113476949333136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113476949333136 is the 10652556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113476949333136

113476949333136 is an abundant number, since it is smaller than the sum of its proper divisors (208662593366371).

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

113476949333136 is an frugal number, since it uses more digits than its factorization.

113476949333136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25162 (or 12579 counting only the distinct ones).

The product of its digits is 79361856, while the sum is 63.

The spelling of 113476949333136 in words is "one hundred thirteen trillion, four hundred seventy-six billion, nine hundred forty-nine million, three hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5041 5112 10082 10224 12503 15123 20164 25006 30246 37509 40328 45369 50012 60492 75018 80656 90738 100024 112527 120984 150036 181476 200048 225054 241968 300072 362952 450108 600144 725904 887713 900216 1775426 1800432 2663139 3550852 5326278 7101704 7989417 10652556 14203408 15978834 21305112 31957668 42610224 63027623 63915336 126055246 127830672 156325009 189082869 252110492 312650018 378165738 468975027 504220984 567248607 625300036 756331476 937950054 1008441968 1134497214 1250600072 1406925081 1512662952 1875900108 2268994428 2501200144 2813850162 3025325904 3751800216 4537988856 5627700324 7503600432 9075977712 11099075639 11255400648 22198151278 22510801296 33297226917 44396302556 66594453834 88792605112 99891680751 133188907668 177585210224 199783361502 266377815336 399566723004 532755630672 788034370369 799133446008 1576068740738 1598266892016 2364103111107 3152137481476 4728206222214 6304274962952 7092309333321 9456412444428 12608549925904 14184618666642 18912824888856 28369237333284 37825649777712 56738474666568 113476949333136