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106378602616 = 231113372513197
BaseRepresentation
bin110001100010010101…
…0001010100001111000
3101011120201002221002001
41203010222022201320
53220330410240431
6120511502350344
710454106126406
oct1430452124170
9334521087061
10106378602616
1141129a47710
1218749b8b3b4
13a054167610
145212264476
152b7920ae61
hex18c4a8a878

106378602616 has 64 divisors (see below), whose sum is σ = 240663840480. Its totient is φ = 43428026880.

The previous prime is 106378602611. The next prime is 106378602641. The reversal of 106378602616 is 616206873601.

It is a super-2 number, since 2×1063786026162 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106378602611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214271 + ... + 1298926.

Almost surely, 2106378602616 is an apocalyptic number.

It is an amenable number.

106378602616 is an abundant number, since it is smaller than the sum of its proper divisors (134285237864).

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

106378602616 is a wasteful number, since it uses less digits than its factorization.

106378602616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513264 (or 2513260 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 106378602616 in words is "one hundred six billion, three hundred seventy-eight million, six hundred two thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 74 88 104 143 148 286 296 407 481 572 814 962 1144 1628 1924 3256 3848 5291 10582 21164 42328 2513197 5026394 10052788 20105576 27645167 32671561 55290334 65343122 92988289 110580668 130686244 185976578 221161336 261372488 359387171 371953156 718774342 743906312 1022871179 1208847757 1437548684 2045742358 2417695514 2875097368 4091484716 4835391028 8182969432 9670782056 13297325327 26594650654 53189301308 106378602616