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137613170137282 = 27219838111097947
BaseRepresentation
bin11111010010100010010000…
…000111110101100011000010
3200001020200122102202121120121
4133102202100013311203002
5121014123233023343112
61204402341223330454
740662136433144500
oct3722422007654302
9601220572677517
10137613170137282
113a936465a7a144
12135264302b0a2a
135ba2b3523c648
1425da727851670
1510d997ae73407
hex7d28901f58c2

137613170137282 has 96 divisors (see below), whose sum is σ = 256119823169280. Its totient is φ = 55131733429920.

The previous prime is 137613170137237. The next prime is 137613170137283. The reversal of 137613170137282 is 282731071316731.

It is not an unprimeable number, because it can be changed into a prime (137613170137283) 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, 124787833 + ... + 125885779.

It is an arithmetic number, because the mean of its divisors is an integer number (2667914824680).

Almost surely, 2137613170137282 is an apocalyptic number.

137613170137282 is a deficient number, since it is larger than the sum of its proper divisors (118506653031998).

137613170137282 is a wasteful number, since it uses less digits than its factorization.

137613170137282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098876 (or 1098869 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 137613170137282 in words is "one hundred thirty-seven trillion, six hundred thirteen billion, one hundred seventy million, one hundred thirty-seven thousand, two hundred eighty-two".

Divisors: 1 2 7 14 19 38 49 83 98 133 166 266 581 811 931 1162 1577 1622 1862 3154 4067 5677 8134 11039 11354 15409 22078 30818 39739 67313 77273 79478 107863 134626 154546 215726 471191 755041 942382 1097947 1278947 1510082 2195894 2557894 3298337 6596674 7685629 8952629 15371258 17905258 20860993 41721986 53799403 62668403 91129601 107598806 125336806 146026951 182259202 292053902 637907207 890435017 1022188657 1275814414 1731462419 1780870034 2044377314 3462924838 4465350449 6233045119 8930700898 12120236933 12466090238 16918265323 24240473866 33836530646 43631315833 73906106411 84841658531 87262631666 118427857261 147812212822 169683317062 236855714522 517342744877 828995000827 1034685489754 1404216021809 1657990001654 2808432043618 3621399214139 7242798428278 9829512152663 19659024305326 68806585068641 137613170137282