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60788800116 = 2232113123920719
BaseRepresentation
bin111000100111010010…
…110111101001110100
312210220110212000002100
4320213102313221310
51443443413100431
643532002542100
74251255163332
oct704722675164
9183813760070
1060788800116
1123864769290
12b946067930
135969cbb315
142d29544b52
1518abb164e6
hexe274b7a74

60788800116 has 144 divisors (see below), whose sum is σ = 173769523200. Its totient is φ = 17751182400.

The previous prime is 60788800103. The next prime is 60788800123. The reversal of 60788800116 is 61100888706.

It is a super-2 number, since 2×607888001162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2923605 + ... + 2944323.

It is an arithmetic number, because the mean of its divisors is an integer number (1206732800).

Almost surely, 260788800116 is an apocalyptic number.

60788800116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60788800116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86884761600).

60788800116 is an abundant number, since it is smaller than the sum of its proper divisors (112980723084).

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

60788800116 is a wasteful number, since it uses less digits than its factorization.

60788800116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21010 (or 21005 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 60788800116 in words is "sixty billion, seven hundred eighty-eight million, eight hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 239 279 341 372 396 478 558 682 717 956 1023 1116 1364 1434 2046 2151 2629 2868 3069 4092 4302 5258 6138 7409 7887 8604 10516 12276 14818 15774 20719 22227 23661 29636 31548 41438 44454 47322 62157 66681 81499 82876 88908 94644 124314 133362 162998 186471 227909 244497 248628 266724 325996 372942 455818 488994 642289 683727 733491 745884 911636 977988 1284578 1367454 1466982 1926867 2051181 2569156 2734908 2933964 3853734 4102362 4951841 5780601 7065179 7707468 8204724 9903682 11561202 14130358 14855523 19807364 21195537 23122404 28260716 29711046 42391074 44566569 54470251 59422092 63586611 84782148 89133138 108940502 127173222 153507071 163410753 178266276 217881004 254346444 307014142 326821506 460521213 490232259 614028284 653643012 921042426 980464518 1381563639 1688577781 1842084852 1960929036 2763127278 3377155562 5065733343 5526254556 6754311124 10131466686 15197200029 20262933372 30394400058 60788800116