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113200677504 = 2732857114661
BaseRepresentation
bin110100101101101001…
…0010100001010000000
3101211012011001020111100
41221123102110022000
53323313333140004
6124000443214400
711115134611515
oct1513322241200
9354164036440
10113200677504
114400a916532
1219b32817400
13a8a0644c15
14569c30730c
152e280cb739
hex1a5b494280

113200677504 has 96 divisors (see below), whose sum is σ = 326129686740. Its totient is φ = 37689200640.

The previous prime is 113200677497. The next prime is 113200677533. The reversal of 113200677504 is 405776002311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 108472739904 + 4727937600 = 329352^2 + 68760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1132006775042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929934 + ... + 1044594.

Almost surely, 2113200677504 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 113200677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163064843370).

113200677504 is an abundant number, since it is smaller than the sum of its proper divisors (212929009236).

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

113200677504 is a wasteful number, since it uses less digits than its factorization.

113200677504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115538 (or 115523 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 113200677504 its reverse (405776002311), we get a palindrome (518976679815).

The spelling of 113200677504 in words is "one hundred thirteen billion, two hundred million, six hundred seventy-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 857 1152 1714 2571 3428 5142 6856 7713 10284 13712 15426 20568 27424 30852 41136 54848 61704 82272 109696 114661 123408 164544 229322 246816 329088 343983 458644 493632 687966 917288 987264 1031949 1375932 1834576 2063898 2751864 3669152 4127796 5503728 7338304 8255592 11007456 14676608 16511184 22014912 33022368 44029824 66044736 98264477 132089472 196528954 294793431 393057908 589586862 786115816 884380293 1179173724 1572231632 1768760586 2358347448 3144463264 3537521172 4716694896 6288926528 7075042344 9433389792 12577853056 14150084688 18866779584 28300169376 37733559168 56600338752 113200677504