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472049905344 = 26323442124179
BaseRepresentation
bin1101101111010000101…
…11011110111011000000
31200010102222011210100120
412313220113132323000
530213224233432334
61000505015420240
746050556664043
oct6675027367300
91603388153316
10472049905344
11172216957716
12775a0684680
133568b684324
1418bc1144c5a
15c42be78949
hex6de85deec0

472049905344 has 112 divisors (see below), whose sum is σ = 1303616920320. Its totient is φ = 150468398080.

The previous prime is 472049905277. The next prime is 472049905421. The reversal of 472049905344 is 443509940274.

It is a happy number.

It is a super-2 number, since 2×4720499053442 (a number of 24 digits) contains 22 as substring.

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, 19511047 + ... + 19535225.

Almost surely, 2472049905344 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 472049905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651808460160).

472049905344 is an abundant number, since it is smaller than the sum of its proper divisors (831567014976).

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

472049905344 is a wasteful number, since it uses less digits than its factorization.

472049905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28638 (or 28628 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 472049905344 in words is "four hundred seventy-two billion, forty-nine million, nine hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 4421 8842 13263 17684 24179 26526 35368 48358 53052 70736 72537 96716 101683 106104 141472 145074 193432 203366 212208 282944 290148 305049 386864 406732 424416 556117 580296 610098 773728 813464 848832 1112234 1160592 1220196 1547456 1626928 1668351 2224468 2321184 2440392 3253856 3336702 4448936 4642368 4880784 6507712 6673404 8897872 9761568 13346808 17795744 19523136 26693616 35591488 53387232 106774464 106895359 213790718 320686077 427581436 641372154 855162872 1282744308 1710325744 2458593257 2565488616 3420651488 4917186514 5130977232 6841302976 7375779771 9834373028 10261954464 14751559542 19668746056 20523908928 29503119084 39337492112 59006238168 78674984224 118012476336 157349968448 236024952672 472049905344