Search a number
-
+
88742785152 = 273724716347
BaseRepresentation
bin101001010100101111…
…0110111000010000000
322111001122012120120110
41102221132313002000
52423221123111102
6104433505511320
76261062141100
oct1225136670200
9274048176513
1088742785152
11346a9a96a5a
1215247942540
1384a3517778
14441bd57200
152495cdd86c
hex14a97b7080

88742785152 has 96 divisors (see below), whose sum is σ = 274208472720. Its totient is φ = 25355076096.

The previous prime is 88742785123. The next prime is 88742785199. The reversal of 88742785152 is 25158724788.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 88742785092 and 88742785101.

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, 2339358 + ... + 2376989.

Almost surely, 288742785152 is an apocalyptic number.

It is an amenable number.

88742785152 is an abundant number, since it is smaller than the sum of its proper divisors (185465687568).

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

88742785152 is a wasteful number, since it uses less digits than its factorization.

88742785152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716378 (or 4716359 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 57.

The spelling of 88742785152 in words is "eighty-eight billion, seven hundred forty-two million, seven hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 4716347 9432694 14149041 18865388 28298082 33014429 37730776 56596164 66028858 75461552 99043287 113192328 132057716 150923104 198086574 226384656 231101003 264115432 301846208 396173148 452769312 462202006 528230864 603692416 693303009 792346296 905538624 924404012 1056461728 1386606018 1584692592 1811077248 1848808024 2112923456 2773212036 3169385184 3697616048 4225846912 5546424072 6338770368 7395232096 11092848144 12677540736 14790464192 22185696288 29580928384 44371392576 88742785152