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153918164450 = 25211324912
BaseRepresentation
bin1000111101011000111…
…1001100110111100010
3112201021211011220001102
42033112033030313202
510010211022230300
6154413052234402
714056143545141
oct2172617146742
9481254156042
10153918164450
115a304878096
12259b6a6ba02
131168c24a16b
147641cc1758
15400ca8c0d5
hex23d63ccde2

153918164450 has 54 divisors (see below), whose sum is σ = 289433201187. Its totient is φ = 60898140800.

The previous prime is 153918164383. The next prime is 153918164453. The reversal of 153918164450 is 54461819351.

It can be written as a sum of positive squares in 5 ways, for example, as 11812969 + 153906351481 = 3437^2 + 392309^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=277415.

It is a super-3 number, since 3×1539181644503 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153918164395 and 153918164404.

It is not an unprimeable number, because it can be changed into a prime (153918164453) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 313478705 + ... + 313479195.

Almost surely, 2153918164450 is an apocalyptic number.

153918164450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153918164450 is a deficient number, since it is larger than the sum of its proper divisors (135515036737).

153918164450 is an frugal number, since it uses more digits than its factorization.

153918164450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 153918164450 in words is "one hundred fifty-three billion, nine hundred eighteen million, one hundred sixty-four thousand, four hundred fifty".

Divisors: 1 2 5 10 25 50 113 226 491 565 982 1130 2455 2825 4910 5650 12275 12769 24550 25538 55483 63845 110966 127690 241081 277415 319225 482162 554830 638450 1205405 1387075 2410810 2774150 6027025 6269579 12054050 12539158 27242153 31347895 54484306 62695790 136210765 156739475 272421530 313478950 681053825 1362107650 3078363289 6156726578 15391816445 30783632890 76959082225 153918164450