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107770696956 = 2232138313121179
BaseRepresentation
bin110010001011110100…
…0100101010011111100
3101022011201120122111200
41210113220211103330
53231203244300311
6121301552015500
710533441544446
oct1442750452374
9338151518450
10107770696956
11417838267aa
1218a78231590
13a2166a8890
1453050b9496
152c0b53d556
hex1917a254fc

107770696956 has 144 divisors (see below), whose sum is σ = 299191052160. Its totient is φ = 32509077120.

The previous prime is 107770696931. The next prime is 107770697003. The reversal of 107770696956 is 659696077701.

It is a super-2 number, since 2×1077706969562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107770696893 and 107770696902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5077975 + ... + 5099153.

It is an arithmetic number, because the mean of its divisors is an integer number (2077715640).

Almost surely, 2107770696956 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 107770696956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149595526080).

107770696956 is an abundant number, since it is smaller than the sum of its proper divisors (191420355204).

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

107770696956 is a wasteful number, since it uses less digits than its factorization.

107770696956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21416 (or 21411 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 107770696956 in words is "one hundred seven billion, seven hundred seventy million, six hundred ninety-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 131 156 166 234 249 262 332 393 468 498 524 747 786 996 1079 1179 1494 1572 1703 2158 2358 2988 3237 3406 4316 4716 5109 6474 6812 9711 10218 10873 12948 15327 19422 20436 21179 21746 30654 32619 38844 42358 43492 61308 63537 65238 84716 97857 127074 130476 141349 190611 195714 254148 275327 282698 381222 391428 424047 550654 565396 762444 825981 848094 1101308 1272141 1651962 1696188 1757857 2477943 2544282 2774449 3303924 3515714 4955886 5088564 5273571 5548898 7031428 8323347 9911772 10547142 11097796 15820713 16646694 21094284 22852141 24970041 31641426 33293388 36067837 45704282 49940082 63282852 68556423 72135674 91408564 99880164 108203511 137112846 144271348 205669269 216407022 230279267 274225692 324610533 411338538 432814044 460558534 649221066 690837801 822677076 921117068 1298442132 1381675602 2072513403 2763351204 2993630471 4145026806 5987260942 8290053612 8980891413 11974521884 17961782826 26942674239 35923565652 53885348478 107770696956