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114790770216 = 233317122325561
BaseRepresentation
bin110101011101000010…
…0000010011000101000
3101222021222002022122000
41222322010002120220
53340042414121331
6124422324331000
711202423306363
oct1527204023050
9358258068560
10114790770216
1144756440741
121a2b7243a60
13aa94bbc395
1457ad57d0da
152ebc9c00e6
hex1aba102628

114790770216 has 128 divisors (see below), whose sum is σ = 337909190400. Its totient is φ = 35981936640.

The previous prime is 114790770187. The next prime is 114790770221. The reversal of 114790770216 is 612077097411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4478076 + ... + 4503636.

It is an arithmetic number, because the mean of its divisors is an integer number (2639915550).

Almost surely, 2114790770216 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 114790770216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168954595200).

114790770216 is an abundant number, since it is smaller than the sum of its proper divisors (223118420184).

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

114790770216 is a wasteful number, since it uses less digits than its factorization.

114790770216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26816 (or 26806 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 114790770216 in words is "one hundred fourteen billion, seven hundred ninety million, seven hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1223 1224 1836 2446 3669 3672 4892 7338 9784 11007 14676 20791 22014 25561 29352 33021 41582 44028 51122 62373 66042 76683 83164 88056 102244 124746 132084 153366 166328 187119 204488 230049 249492 264168 306732 374238 434537 460098 498984 561357 613464 690147 748476 869074 920196 1122714 1303611 1380294 1496952 1738148 1840392 2245428 2607222 2760588 3476296 3910833 4490856 5214444 5521176 7821666 10428888 11732499 15643332 23464998 31261103 31286664 46929996 62522206 93783309 93859992 125044412 187566618 250088824 281349927 375133236 531438751 562699854 750266472 844049781 1062877502 1125399708 1594316253 1688099562 2125755004 2250799416 3188632506 3376199124 4251510008 4782948759 6377265012 6752398248 9565897518 12754530024 14348846277 19131795036 28697692554 38263590072 57395385108 114790770216