Search a number
-
+
115272376428 = 223112295946399
BaseRepresentation
bin110101101011011000…
…1001110000001101100
3102000112112022110011010
41223112301032001230
53342034212021203
6124542211025220
711220362014206
oct1532661160154
9360475273133
10115272376428
1144983284600
121a41059b210
13ab40904181
145817507776
152ee9e03303
hex1ad6c4e06c

115272376428 has 144 divisors (see below), whose sum is σ = 311028480000. Its totient is φ = 33154154880.

The previous prime is 115272376423. The next prime is 115272376501. The reversal of 115272376428 is 824673272511.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (115272376423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2461173 + ... + 2507571.

It is an arithmetic number, because the mean of its divisors is an integer number (2159920000).

Almost surely, 2115272376428 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 115272376428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514240000).

115272376428 is an abundant number, since it is smaller than the sum of its proper divisors (195756103572).

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

115272376428 is a wasteful number, since it uses less digits than its factorization.

115272376428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46516 (or 46503 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The spelling of 115272376428 in words is "one hundred fifteen billion, two hundred seventy-two million, three hundred seventy-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 59 66 87 116 118 121 132 174 177 236 242 319 348 354 363 484 638 649 708 726 957 1276 1298 1452 1711 1914 1947 2596 3422 3509 3828 3894 5133 6844 7018 7139 7788 10266 10527 14036 14278 18821 20532 21054 21417 28556 37642 42108 42834 46399 56463 75284 85668 92798 112926 139197 185596 207031 225852 278394 414062 510389 556788 621093 828124 1020778 1242186 1345571 1531167 2041556 2484372 2691142 2737541 3062334 4036713 5382284 5475082 5614279 6124668 8073426 8212623 10950164 11228558 14801281 16146852 16425246 16842837 22457116 29602562 30112951 32850492 33685674 44403843 59205124 60225902 67371348 79388689 88807686 90338853 120451804 158777378 162814091 177615372 180677706 238166067 317554756 325628182 331242461 361355412 476332134 488442273 651256364 662484922 873275579 952664268 976884546 993727383 1324969844 1746551158 1953769092 1987454766 2619826737 3493102316 3974909532 5239653474 9606031369 10479306948 19212062738 28818094107 38424125476 57636188214 115272376428