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42491699619424 = 25111076071858613
BaseRepresentation
bin10011010100101010111101…
…01010010110011001100000
312120110011111121100112221021
421222111132222112121200
521032141000100310144
6230212230050335224
711643631633255036
oct1152253652263140
9176404447315837
1042491699619424
11125a26a07515a0
12492321428a514
131a92c474346b3
14a6c875a52556
154da48ec9a884
hex26a55ea96660

42491699619424 has 96 divisors (see below), whose sum is σ = 92265286450176. Its totient is φ = 19102368069120.

The previous prime is 42491699619371. The next prime is 42491699619449.

42491699619424 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21932742 + ... + 23791354.

It is an arithmetic number, because the mean of its divisors is an integer number (961096733856).

Almost surely, 242491699619424 is an apocalyptic number.

42491699619424 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 42491699619424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46132643225088).

42491699619424 is an abundant number, since it is smaller than the sum of its proper divisors (49773586830752).

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

42491699619424 is a wasteful number, since it uses less digits than its factorization.

42491699619424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859348 (or 1859340 counting only the distinct ones).

The product of its digits is 241864704, while the sum is 70.

The spelling of 42491699619424 in words is "forty-two trillion, four hundred ninety-one billion, six hundred ninety-nine million, six hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 176 214 352 428 607 856 1177 1214 1712 2354 2428 3424 4708 4856 6677 9416 9712 13354 18832 19424 26708 37664 53416 64949 106832 129898 213664 259796 519592 714439 1039184 1428878 1858613 2078368 2857756 3717226 5715512 7434452 11431024 14868904 20444743 22862048 29737808 40889486 59475616 81778972 163557944 198871591 327115888 397743182 654231776 795486364 1128178091 1590972728 2187587501 2256356182 3181945456 4375175002 4512712364 6363890912 8750350004 9025424728 12409959001 17500700008 18050849456 24819918002 35001400016 36101698912 49639836004 70002800032 99279672008 120715055737 198559344016 241430111474 397118688032 482860222948 965720445896 1327865613107 1931440891792 2655731226214 3862881783584 5311462452428 10622924904856 21245849809712 42491699619424