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168986986872 = 2331113738912011
BaseRepresentation
bin1001110101100001101…
…0001100100101111000
3121011011222211101100120
42131120122030211320
510232041132034442
6205344225333240
715131440455054
oct2353032144570
9534158741316
10168986986872
1165737826440
1228901497220
1312c21111a32
1482712dcc64
1545e09484ec
hex275868c978

168986986872 has 128 divisors (see below), whose sum is σ = 465469804800. Its totient is φ = 50699494400.

The previous prime is 168986986871. The next prime is 168986986933. The reversal of 168986986872 is 278689689861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168986986871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14063347 + ... + 14075357.

It is an arithmetic number, because the mean of its divisors is an integer number (3636482850).

Almost surely, 2168986986872 is an apocalyptic number.

168986986872 is a gapful number since it is divisible by the number (12) 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 168986986872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232734902400).

168986986872 is an abundant number, since it is smaller than the sum of its proper divisors (296482817928).

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

168986986872 is a wasteful number, since it uses less digits than its factorization.

168986986872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12557 (or 12553 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 78.

The spelling of 168986986872 in words is "one hundred sixty-eight billion, nine hundred eighty-six million, nine hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 264 274 389 411 548 778 822 1096 1167 1507 1556 1644 2334 3014 3112 3288 4279 4521 4668 6028 8558 9042 9336 12011 12056 12837 17116 18084 24022 25674 34232 36033 36168 48044 51348 53293 72066 96088 102696 106586 132121 144132 159879 213172 264242 288264 319758 396363 426344 528484 586223 639516 792726 1056968 1172446 1279032 1585452 1645507 1758669 2344892 3170904 3291014 3517338 4672279 4689784 4936521 6582028 7034676 9344558 9873042 13164056 14016837 14069352 18100577 18689116 19746084 28033674 36201154 37378232 39492168 51395069 54301731 56067348 72402308 102790138 108603462 112134696 144804616 154185207 205580276 217206924 308370414 411160552 434413848 616740828 640102223 1233481656 1280204446 1920306669 2560408892 3840613338 5120817784 7041124453 7681226676 14082248906 15362453352 21123373359 28164497812 42246746718 56328995624 84493493436 168986986872