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46022025466164 = 223114157171487441
BaseRepresentation
bin10100111011011010101100…
…11110101101000100110100
320000221122220002021011200210
422131231112132231010310
522013011102004404124
6241514120541305420
712456660456660036
oct1235552636550464
9200848802234623
1046022025466164
1113733916647220
1251b3463265270
131c8ab20b24977
14b51699597c56
1554c212663a29
hex29db567ad134

46022025466164 has 96 divisors (see below), whose sum is σ = 120025288639872. Its totient is φ = 13603531264000.

The previous prime is 46022025466163. The next prime is 46022025466169. The reversal of 46022025466164 is 46166452022064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46022025466163) 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, 30196684 + ... + 31684124.

It is an arithmetic number, because the mean of its divisors is an integer number (1250263423332).

Almost surely, 246022025466164 is an apocalyptic number.

46022025466164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46022025466164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60012644319936).

46022025466164 is an abundant number, since it is smaller than the sum of its proper divisors (74003263173708).

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

46022025466164 is a wasteful number, since it uses less digits than its factorization.

46022025466164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493217 (or 1493215 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 46022025466164 in words is "forty-six trillion, twenty-two billion, twenty-five million, four hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 5412 5717 11434 17151 22868 34302 62887 68604 125774 188661 234397 251548 377322 468794 703191 754644 937588 1406382 1487441 2578367 2812764 2974882 4462323 5156734 5949764 7735101 8924646 10313468 15470202 16361851 17849292 30940404 32723702 49085553 60985081 65447404 98171106 121970162 182955243 196342212 243940324 365910486 670835891 731820972 1341671782 2012507673 2683343564 4025015346 8050030692 8503700197 17007400394 25511100591 34014800788 51022201182 93540702167 102044402364 187081404334 280622106501 348651708077 374162808668 561244213002 697303416154 1045955124231 1122488426004 1394606832308 2091910248462 3835168788847 4183820496924 7670337577694 11505506366541 15340675155388 23011012733082 46022025466164