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46070610072 = 23331712233911
BaseRepresentation
bin101010111010000001…
…011011100010011000
311101220201222110222120
4222322001123202120
51223323034010242
633055313021240
73220446503304
oct527201334230
9141821873876
1046070610072
11185a1727263
128b18b54820
134462971726
14233091ad04
1512e991b1ec
hexaba05b898

46070610072 has 128 divisors (see below), whose sum is σ = 121138053120. Its totient is φ = 14582736000.

The previous prime is 46070610059. The next prime is 46070610073. The reversal of 46070610072 is 27001607064.

It is a super-2 number, since 2×460706100722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46070610073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11777797 + ... + 11781707.

It is an arithmetic number, because the mean of its divisors is an integer number (946391040).

Almost surely, 246070610072 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 46070610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569026560).

46070610072 is an abundant number, since it is smaller than the sum of its proper divisors (75067443048).

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

46070610072 is a wasteful number, since it uses less digits than its factorization.

46070610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 46070610072 in words is "forty-six billion, seventy million, six hundred ten thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 223 248 284 372 426 446 568 669 744 852 892 1338 1704 1784 2201 2676 3911 4402 5352 6603 6913 7822 8804 11733 13206 13826 15644 15833 17608 20739 23466 26412 27652 31288 31666 41478 46932 47499 52824 55304 63332 82956 93864 94998 121241 126664 165912 189996 242482 277681 363723 379992 484964 490823 555362 727446 833043 872153 969928 981646 1110724 1454892 1472469 1666086 1744306 1963292 2221448 2616459 2909784 2944938 3332172 3488612 3926584 5232918 5889876 6664344 6977224 8608111 10465836 11779752 17216222 20931672 25824333 27036743 34432444 51648666 54073486 61922863 68864888 81110229 103297332 108146972 123845726 162220458 185768589 206594664 216293944 247691452 324440916 371537178 495382904 648881832 743074356 1486148712 1919608753 3839217506 5758826259 7678435012 11517652518 15356870024 23035305036 46070610072