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47623141320700 = 2252111012271888331
BaseRepresentation
bin10101101010000001000000…
…11010111110011111111100
320020121201122121012221022211
422311000200122332133330
522220224143134230300
6245141434042550204
713013441560122241
oct1265004032763774
9206551577187284
1047623141320700
11141a0951819740
125411825808364
132075ac5c8cc5a
14ba8d8814d5c8
15578bc1bb14ba
hex2b50206be7fc

47623141320700 has 144 divisors (see below), whose sum is σ = 114354787575168. Its totient is φ = 17070503200000.

The previous prime is 47623141320691. The next prime is 47623141320707. The reversal of 47623141320700 is 702314132674.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47623141320707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24275535 + ... + 26163865.

It is an arithmetic number, because the mean of its divisors is an integer number (794130469272).

Almost surely, 247623141320700 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 47623141320700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177393787584).

47623141320700 is an abundant number, since it is smaller than the sum of its proper divisors (66731646254468).

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

47623141320700 is a wasteful number, since it uses less digits than its factorization.

47623141320700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888684 (or 1888677 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 47623141320700 in words is "forty-seven trillion, six hundred twenty-three billion, one hundred forty-one million, three hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 227 275 404 454 505 550 908 1010 1100 1111 1135 2020 2222 2270 2497 2525 4444 4540 4994 5050 5555 5675 9988 10100 11110 11350 12485 22220 22700 22927 24970 27775 45854 49940 55550 62425 91708 111100 114635 124850 229270 249700 252197 458540 504394 573175 1008788 1146350 1260985 1888331 2292700 2521970 3776662 5043940 6304925 7553324 9441655 12609850 18883310 20771641 25219700 37766620 41543282 47208275 83086564 94416550 103858205 188833100 190721431 207716410 381442862 415432820 428651137 519291025 762885724 857302274 953607155 1038582050 1714604548 1907214310 2077164100 2097935741 2143255685 3814428620 4195871482 4286511370 4715162507 4768035775 8391742964 8573022740 9430325014 9536071550 10489678705 10716278425 18860650028 19072143100 20979357410 21432556850 23575812535 41958714820 42865113700 43293764837 47151625070 52448393525 86587529674 94303250140 104896787050 117879062675 173175059348 209793574100 216468824185 235758125350 432937648370 471516250700 476231413207 865875296740 952462826414 1082344120925 1904925652828 2164688241850 2381157066035 4329376483700 4762314132070 9524628264140 11905785330175 23811570660350 47623141320700