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146761990216 = 231713121139041
BaseRepresentation
bin1000100010101110110…
…0100100000001001000
3112000211002120120111021
42020223230210001020
54401032032141331
6151231014442224
713413620222332
oct2105354440110
9460732516437
10146761990216
1157272354506
122453a363374
1310abb792c3a
147163710452
153c3e6c4211
hex222bb24048

146761990216 has 64 divisors (see below), whose sum is σ = 294988858560. Its totient is φ = 68210688000.

The previous prime is 146761990163. The next prime is 146761990241. The reversal of 146761990216 is 612099167641.

It is a super-2 number, since 2×1467619902162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739656 + ... + 3778696.

It is an arithmetic number, because the mean of its divisors is an integer number (4609200915).

Almost surely, 2146761990216 is an apocalyptic number.

It is an amenable number.

146761990216 is an abundant number, since it is smaller than the sum of its proper divisors (148226868344).

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

146761990216 is a wasteful number, since it uses less digits than its factorization.

146761990216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39406 (or 39402 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 52.

It can be divided in two parts, 1467619902 and 16, that multiplied together give a palindrome (23481918432).

The spelling of 146761990216 in words is "one hundred forty-six billion, seven hundred sixty-one million, nine hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 4 8 17 34 68 131 136 211 262 422 524 844 1048 1688 2227 3587 4454 7174 8908 14348 17816 27641 28696 39041 55282 78082 110564 156164 221128 312328 469897 663697 939794 1327394 1879588 2654788 3759176 5114371 5309576 8237651 10228742 16475302 20457484 32950604 40914968 65901208 86944307 140040067 173888614 280080134 347777228 560160268 695554456 1079132281 1120320536 2158264562 4316529124 8633058248 18345248777 36690497554 73380995108 146761990216