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106165161480 = 23357131964787
BaseRepresentation
bin110001011011111101…
…1111100111000001000
3101011000211110222212210
41202313323330320020
53214411240131410
6120434355505120
710445604661140
oct1426773747010
9334024428783
10106165161480
114102a514184
12186aa5b81a0
13a01bb853a1
1451d1b83920
152b655e9220
hex18b7efce08

106165161480 has 128 divisors (see below), whose sum is σ = 366773806080. Its totient is φ = 24081058560.

The previous prime is 106165161461. The next prime is 106165161527. The reversal of 106165161480 is 84161561601.

It is a super-2 number, since 2×1061651614802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372354 + ... + 592433.

It is an arithmetic number, because the mean of its divisors is an integer number (2865420360).

Almost surely, 2106165161480 is an apocalyptic number.

106165161480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106165161480 is an abundant number, since it is smaller than the sum of its proper divisors (260608644600).

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

106165161480 is a wasteful number, since it uses less digits than its factorization.

106165161480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964939 (or 964935 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 106165161480 in words is "one hundred six billion, one hundred sixty-five million, one hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 131 140 168 210 262 280 393 420 524 655 786 840 917 1048 1310 1572 1834 1965 2620 2751 3144 3668 3930 4585 5240 5502 7336 7860 9170 11004 13755 15720 18340 22008 27510 36680 55020 110040 964787 1929574 2894361 3859148 4823935 5788722 6753509 7718296 9647870 11577444 13507018 14471805 19295740 20260527 23154888 27014036 28943610 33767545 38591480 40521054 54028072 57887220 67535090 81042108 101302635 115774440 126387097 135070180 162084216 202605270 252774194 270140360 379161291 405210540 505548388 631935485 758322582 810421080 884709679 1011096776 1263870970 1516645164 1769419358 1895806455 2527741940 2654129037 3033290328 3538838716 3791612910 4423548395 5055483880 5308258074 7077677432 7583225820 8847096790 10616516148 13270645185 15166451640 17694193580 21233032296 26541290370 35388387160 53082580740 106165161480