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47232928329768 = 23326120393527353
BaseRepresentation
bin10101011110101010001011…
…11010100011000000101000
320012020102102222122010211100
422233111011322203000220
522142331014123023033
6244242301400201400
712643315665331326
oct1257250572430050
9205212388563740
1047232928329768
1114060410756095
12536a084169260
13204807a186a4c
14b9412bb08d16
1556d984602513
hex2af545ea3028

47232928329768 has 96 divisors (see below), whose sum is σ = 130026226884840. Its totient is φ = 15485417256960.

The previous prime is 47232928329767. The next prime is 47232928329859. The reversal of 47232928329768 is 86792382923274.

47232928329768 is a `hidden beast` number, since 4 + 7 + 2 + 3 + 292 + 8 + 329 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40869911989764 + 6363016340004 = 6392958^2 + 2522502^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47232928329696 and 47232928329705.

It is not an unprimeable number, because it can be changed into a prime (47232928329761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89302380 + ... + 89829732.

Almost surely, 247232928329768 is an apocalyptic number.

It is an amenable number.

47232928329768 is an abundant number, since it is smaller than the sum of its proper divisors (82793298555072).

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

47232928329768 is a wasteful number, since it uses less digits than its factorization.

47232928329768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547819 (or 547812 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 47232928329768 in words is "forty-seven trillion, two hundred thirty-two billion, nine hundred twenty-eight million, three hundred twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 20393 40786 61179 81572 122358 163144 183537 244716 367074 489432 527353 734148 1054706 1243973 1468296 1582059 2109412 2487946 3164118 3731919 4218824 4746177 4975892 6328236 7463838 9492354 9951784 11195757 12656472 14927676 18984708 22391514 29855352 32168533 37969416 44783028 64337066 89566056 96505599 128674132 193011198 257348264 289516797 386022396 579033594 772044792 1158067188 2316134376 10754309729 21508619458 32262929187 43017238916 64525858374 86034477832 96788787561 129051716748 193577575122 258103433496 387155150244 656012893469 774310300488 1312025786938 1968038680407 2624051573876 3936077360814 5248103147752 5904116041221 7872154721628 11808232082442 15744309443256 23616464164884 47232928329768