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2380025024352 = 2535577952963
BaseRepresentation
bin100010101000100100100…
…010111100111101100000
322102112021000222022200000
4202220210202330331200
5302443242401234402
65021211324100000
7333644144625333
oct42504442747540
98375230868600
102380025024352
118383aa096348
12325321694600
1314358774a0a1
148329dc0261a
1541d9ae4ec1c
hex22a248bcf60

2380025024352 has 144 divisors (see below), whose sum is σ = 7020217189440. Its totient is φ = 793189418112.

The previous prime is 2380025024327. The next prime is 2380025024371. The reversal of 2380025024352 is 2534205200832.

2380025024352 is a `hidden beast` number, since 2 + 38 + 0 + 0 + 250 + 24 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44911023 + ... + 44963985.

It is an arithmetic number, because the mean of its divisors is an integer number (48751508260).

Almost surely, 22380025024352 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 2380025024352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510108594720).

2380025024352 is an abundant number, since it is smaller than the sum of its proper divisors (4640192165088).

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

2380025024352 is an equidigital number, since it uses as much as digits as its factorization.

2380025024352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58767 (or 58747 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2380025024352 in words is "two trillion, three hundred eighty billion, twenty-five million, twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5779 7776 11558 17337 23116 34674 46232 52011 52963 69348 92464 104022 105926 138696 156033 158889 184928 208044 211852 277392 312066 317778 416088 423704 468099 476667 554784 624132 635556 832176 847408 936198 953334 1248264 1271112 1404297 1430001 1664352 1694816 1872396 1906668 2496528 2542224 2808594 2860002 3744792 3813336 4290003 4993056 5084448 5617188 5720004 7489584 7626672 8580006 11234376 11440008 12870009 14979168 15253344 17160012 22468752 22880016 25740018 34320024 44937504 45760032 51480036 68640048 102960072 137280096 205920144 306073177 411840288 612146354 918219531 1224292708 1836439062 2448585416 2754658593 3672878124 4897170832 5509317186 7345756248 8263975779 9794341664 11018634372 14691512496 16527951558 22037268744 24791927337 29383024992 33055903116 44074537488 49583854674 66111806232 74375782011 88149074976 99167709348 132223612464 148751564022 198335418696 264447224928 297503128044 396670837392 595006256088 793341674784 1190012512176 2380025024352