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109216068941742 = 23723891151829687
BaseRepresentation
bin11000110101010011011000…
…111111100011011110101110
3112022200221202121221212012220
4120311103120333203132232
5103303344002122113432
61024141100332340210
732001413000463300
oct3065233077433656
9468627677855186
10109216068941742
113188830272a244
12102ba980614666
1348c3053468c49
141cd812bb75970
15c95e61ed372c
hex6354d8fe37ae

109216068941742 has 96 divisors (see below), whose sum is σ = 254969361653760. Its totient is φ = 31097295028800.

The previous prime is 109216068941741. The next prime is 109216068941743. The reversal of 109216068941742 is 247149860612901.

It is an interprime number because it is at equal distance from previous prime (109216068941741) and next prime (109216068941743).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109216068941741) 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, 131220423 + ... + 132050109.

It is an arithmetic number, because the mean of its divisors is an integer number (2655930850560).

Almost surely, 2109216068941742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109216068941742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127484680826880).

109216068941742 is an abundant number, since it is smaller than the sum of its proper divisors (145753292712018).

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

109216068941742 is a wasteful number, since it uses less digits than its factorization.

109216068941742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831246 (or 831239 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 109216068941742 in words is "one hundred nine trillion, two hundred sixteen billion, sixty-eight million, nine hundred forty-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 389 778 1151 1167 2302 2334 2723 3453 5446 6906 8057 8169 16114 16338 19061 24171 38122 48342 56399 57183 112798 114366 169197 338394 447739 829687 895478 1343217 1659374 2489061 2686434 3134173 4978122 5807809 6268346 9402519 11615618 17423427 18805038 21939211 34846854 40654663 43878422 65817633 81309326 121963989 131635266 243927978 322748243 645496486 954969737 968244729 1909939474 1936489458 2259237701 2864909211 4518475402 5729818422 6684788159 6777713103 13369576318 13555426206 15814663907 20054364477 31629327814 40108728954 46793517113 47443991721 93587034226 94887983442 140380551339 280761102678 371483227693 742966455386 1114449683079 2228899366158 2600382593851 5200765187702 7801147781553 15602295563106 18202678156957 36405356313914 54608034470871 109216068941742