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46243100134264 = 23115367588125163
BaseRepresentation
bin10101000001110110011111…
…00011101000101101111000
320001201210112011020220221011
422200323033203220231320
522030121332113244024
6242203441550523304
712511645062440065
oct1240731743505570
9201653464226834
1046243100134264
111380965251a4a0
12522a280806534
131ca5923370147
14b5c26c587c6c
15552d50d84094
hex2a0ecf8e8b78

46243100134264 has 128 divisors (see below), whose sum is σ = 97831761742080. Its totient is φ = 20310927436800.

The previous prime is 46243100134261. The next prime is 46243100134349.

46243100134264 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46243100134261) 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, 1837729347 + ... + 1837754509.

It is an arithmetic number, because the mean of its divisors is an integer number (764310638610).

Almost surely, 246243100134264 is an apocalyptic number.

46243100134264 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 46243100134264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48915880871040).

46243100134264 is an abundant number, since it is smaller than the sum of its proper divisors (51588661607816).

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

46243100134264 is a wasteful number, since it uses less digits than its factorization.

46243100134264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31181 (or 31177 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 46243100 and 134264, that added together give a palindrome (46377364).

The spelling of 46243100134264 in words is "forty-six trillion, two hundred forty-three billion, one hundred million, one hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 53 67 88 106 134 212 268 424 536 583 737 1166 1474 2332 2948 3551 4664 5881 5896 7102 11762 14204 23524 25163 28408 39061 47048 50326 64691 78122 100652 129382 156244 201304 258764 276793 311693 312488 394027 517528 553586 623386 788054 1107172 1246772 1333639 1576108 1685921 2214344 2493544 2667278 3152216 3371842 3428623 4334297 5334556 6743684 6857246 8668594 10669112 13487368 13714492 14670029 17337188 18545131 20883431 27428984 29340058 34674376 37090262 41766862 58680116 74180524 83533724 89353813 117360232 147983603 148361048 167067448 178707626 229717741 295967206 357415252 459435482 591934412 714830504 918870964 982891943 1183868824 1627819633 1837741928 1965783886 3255639266 3931567772 6511278532 7843130959 7863135544 9914901401 13022557064 15686261918 19829802802 31372523836 39659605604 62745047672 79319211208 86274440549 109063915411 172548881098 218127830822 345097762196 436255661644 525489774253 690195524392 872511323288 1050979548506 2101959097012 4203918194024 5780387516783 11560775033566 23121550067132 46243100134264