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36930668346 = 232111328151059
BaseRepresentation
bin100010011001001111…
…010100011100111010
310112022202120100000100
4202121033110130322
51101113222341341
624544332220230
72445114334005
oct423117243472
9115282510010
1036930668346
1114731443810
1271a800a676
1336372047a0
141b04ab853c
15e622ea3b6
hex8993d473a

36930668346 has 96 divisors (see below), whose sum is σ = 94341723840. Its totient is φ = 10293292800.

The previous prime is 36930668297. The next prime is 36930668393. The reversal of 36930668346 is 64386603963.

36930668346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36930668292 and 36930668301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 697765 + ... + 748823.

It is an arithmetic number, because the mean of its divisors is an integer number (982726290).

Almost surely, 236930668346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36930668346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47170861920).

36930668346 is an abundant number, since it is smaller than the sum of its proper divisors (57411055494).

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

36930668346 is a wasteful number, since it uses less digits than its factorization.

36930668346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51372 (or 51369 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 36930668346 in words is "thirty-six billion, nine hundred thirty million, six hundred sixty-eight thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 281 286 429 562 843 858 1287 1686 2529 2574 3091 3653 5058 6182 7306 9273 10959 18546 21918 27819 32877 40183 51059 55638 65754 80366 102118 120549 153177 241098 306354 361647 459531 561649 663767 723294 919062 1123298 1327534 1684947 1991301 3369894 3982602 5054841 5973903 7301437 10109682 11947806 14347579 14602874 21904311 28695158 43042737 43808622 65712933 86085474 129128211 131425866 157823369 186518527 258256422 315646738 373037054 473470107 559555581 946940214 1119111162 1420410321 1678666743 2051703797 2840820642 3357333486 4103407594 6155111391 12310222782 18465334173 36930668346