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149620654732768 = 2537229567115513
BaseRepresentation
bin100010000001010001000101…
…111110011111010111100000
3201121202121001200102120012021
4202001101011332133113200
5124102341100102422033
61250114440242311224
743341510206164222
oct4201210576372740
9647677050376167
10149620654732768
1143745843aa334a
121494559a658514
13656422345574b
1428d396d492412
151246e9aed1b2d
hex881445f9f5e0

149620654732768 has 72 divisors (see below), whose sum is σ = 302754926783232. Its totient is φ = 72785334703104.

The previous prime is 149620654732753. The next prime is 149620654732823. The reversal of 149620654732768 is 867237456026941.

149620654732768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 149620654732697 and 149620654732706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295213380 + ... + 1295328892.

It is an arithmetic number, because the mean of its divisors is an integer number (4204929538656).

It is a 1-persistent number, because it is pandigital, but 2⋅149620654732768 = 299241309465536 is not.

Almost surely, 2149620654732768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149620654732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151377463391616).

149620654732768 is an abundant number, since it is smaller than the sum of its proper divisors (153134272050464).

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

149620654732768 is a wasteful number, since it uses less digits than its factorization.

149620654732768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145164 (or 145119 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 70.

The spelling of 149620654732768 in words is "one hundred forty-nine trillion, six hundred twenty billion, six hundred fifty-four million, seven hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 1369 2738 5476 10952 21904 29567 43808 59134 115513 118268 231026 236536 462052 473072 924104 946144 1093979 1848208 2187958 3696416 4273981 4375916 8547962 8751832 17095924 17503664 34191848 35007328 40477223 68383696 80954446 136767392 158137297 161908892 316274594 323817784 632549188 647635568 1265098376 1295271136 2530196752 3415372871 5060393504 6830745742 13661491484 27322982968 54645965936 109291931872 126368796227 252737592454 505475184908 1010950369816 2021900739632 4043801479264 4675645460399 9351290920798 18702581841596 37405163683192 74810327366384 149620654732768