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2274720311952 = 24321110713421129
BaseRepresentation
bin100001000110011111111…
…001010110101010010000
322001110110011120200000200
4201012133321112222100
5244232111344440302
64500554142415200
7323225455425114
oct41063771265220
98043404520020
102274720311952
117a7781350310
12308a33291500
13136674c2108a
147c150441744
153e28616d81c
hex2119fe56a90

2274720311952 has 120 divisors (see below), whose sum is σ = 7009695145440. Its totient is φ = 682866992640.

The previous prime is 2274720311933. The next prime is 2274720311959. The reversal of 2274720311952 is 2591130274722.

2274720311952 is a `hidden beast` number, since 227 + 4 + 7 + 20 + 311 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2274720311898 and 2274720311907.

It is not an unprimeable number, because it can be changed into a prime (2274720311959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6541077 + ... + 6880052.

It is an arithmetic number, because the mean of its divisors is an integer number (58414126212).

Almost surely, 22274720311952 is an apocalyptic number.

2274720311952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2274720311952 is an abundant number, since it is smaller than the sum of its proper divisors (4734974833488).

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

2274720311952 is a wasteful number, since it uses less digits than its factorization.

2274720311952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421261 (or 13421252 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2274720311952 in words is "two trillion, two hundred seventy-four billion, seven hundred twenty million, three hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 107 132 144 176 198 214 264 321 396 428 528 642 792 856 963 1177 1284 1584 1712 1926 2354 2568 3531 3852 4708 5136 7062 7704 9416 10593 14124 15408 18832 21186 28248 42372 56496 84744 169488 13421129 26842258 40263387 53684516 80526774 107369032 120790161 147632419 161053548 214738064 241580322 295264838 322107096 442897257 483160644 590529676 644214192 885794514 966321288 1181059352 1328691771 1436060803 1771589028 1932642576 2362118704 2657383542 2872121606 3543178056 4308182409 5314767084 5744243212 7086356112 8616364818 10629534168 11488486424 12924547227 15796668833 17232729636 21259068336 22976972848 25849094454 31593337666 34465459272 47390006499 51698188908 63186675332 68930918544 94780012998 103396377816 126373350664 142170019497 189560025996 206792755632 252746701328 284340038994 379120051992 568680077988 758240103984 1137360155976 2274720311952