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4723718640 = 243580924329
BaseRepresentation
bin1000110011000111…
…00011100111110000
3110012012111202210020
410121203203213300
534133232444030
62100421403440
7225025642314
oct43143434760
913165452706
104723718640
112004463803
12ab9b69580
135a38469b4
1432b503b44
151c9a80510
hex1198e39f0

4723718640 has 80 divisors (see below), whose sum is σ = 14662231200. Its totient is φ = 1258049536.

The previous prime is 4723718557. The next prime is 4723718641. The reversal of 4723718640 is 468173274.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4723718592 and 4723718601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4723718641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181996 + ... + 206324.

It is an arithmetic number, because the mean of its divisors is an integer number (183277890).

Almost surely, 24723718640 is an apocalyptic number.

4723718640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4723718640 is an abundant number, since it is smaller than the sum of its proper divisors (9938512560).

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

4723718640 is a wasteful number, since it uses less digits than its factorization.

4723718640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25154 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 4723718640 is about 68729.3142698223. The cubic root of 4723718640 is about 1677.8817122904.

The spelling of 4723718640 in words is "four billion, seven hundred twenty-three million, seven hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 809 1618 2427 3236 4045 4854 6472 8090 9708 12135 12944 16180 19416 24270 24329 32360 38832 48540 48658 64720 72987 97080 97316 121645 145974 194160 194632 243290 291948 364935 389264 486580 583896 729870 973160 1167792 1459740 1946320 2919480 5838960 19682161 39364322 59046483 78728644 98410805 118092966 157457288 196821610 236185932 295232415 314914576 393643220 472371864 590464830 787286440 944743728 1180929660 1574572880 2361859320 4723718640