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155657768613030 = 232522352267148387
BaseRepresentation
bin100011011001000111100110…
…000000010011010010100110
3202102010201220112021120121100
4203121013212000103102212
5130400244102231104110
61311020105224500530
744533621420366065
oct4331074600232246
9672121815246540
10155657768613030
11456630a8435312
121555b62791a746
1368b1606946b28
142a61c3a40c1dc
1512ee0383a4bc0
hex8d91e60134a6

155657768613030 has 96 divisors (see below), whose sum is σ = 406535559865344. Its totient is φ = 41321531377728.

The previous prime is 155657768613007. The next prime is 155657768613031. The reversal of 155657768613030 is 30316867756551.

It is a happy number.

155657768613030 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 5 + 7 + 7 + 6 + 8 + 613 + 0 + 3 + 0 = 666.

155657768613030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155657768613031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048924497 + ... + 1049072883.

It is an arithmetic number, because the mean of its divisors is an integer number (4234745415264).

Almost surely, 2155657768613030 is an apocalyptic number.

155657768613030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 155657768613030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203267779932672).

155657768613030 is an abundant number, since it is smaller than the sum of its proper divisors (250877791252314).

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

155657768613030 is a wasteful number, since it uses less digits than its factorization.

155657768613030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200890 (or 200887 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 155657768613030 in words is "one hundred fifty-five trillion, six hundred fifty-seven billion, seven hundred sixty-eight million, six hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 3345 4014 6690 10035 20070 52267 104534 148387 156801 261335 296774 313602 445161 470403 522670 741935 784005 890322 940806 1335483 1483870 1568010 2225805 2352015 2670966 4451610 4704030 6677415 11655541 13354830 23311082 33090301 34966623 58277705 66180602 69933246 99270903 104899869 116555410 165451505 174833115 198541806 209799738 297812709 330903010 349666230 496354515 524499345 595625418 992709030 1048998690 1489063545 2978127090 7755743329 15511486658 23267229987 38778716645 46534459974 69801689961 77557433290 116336149935 139603379922 232672299870 349008449805 698016899610 1729530762367 3459061524734 5188592287101 8647653811835 10377184574202 15565776861303 17295307623670 25942961435505 31131553722606 51885922871010 77828884306515 155657768613030