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152453550400 = 2652731305253
BaseRepresentation
bin1000110111111011110…
…0001001000101000000
3112120111202020210021121
42031332330021011000
54444211102103100
6154011452402024
714004640540264
oct2157674110500
9476452223247
10152453550400
1159723066958
1225668476314
13114b7997528
1475435900a4
153e741d251a
hex237ef09140

152453550400 has 84 divisors (see below), whose sum is σ = 380270089852. Its totient is φ = 60146012160.

The previous prime is 152453550343. The next prime is 152453550407. The reversal of 152453550400 is 4055354251.

It can be written as a sum of positive squares in 6 ways, for example, as 9763020864 + 142690529536 = 98808^2 + 377744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152453550407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535827 + ... + 769426.

Almost surely, 2152453550400 is an apocalyptic number.

152453550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152453550400 is an abundant number, since it is smaller than the sum of its proper divisors (227816539452).

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

152453550400 is a wasteful number, since it uses less digits than its factorization.

152453550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305348 (or 1305333 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 152453550400 in words is "one hundred fifty-two billion, four hundred fifty-three million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 146 160 200 292 320 365 400 584 730 800 1168 1460 1600 1825 2336 2920 3650 4672 5840 7300 11680 14600 23360 29200 58400 116800 1305253 2610506 5221012 6526265 10442024 13052530 20884048 26105060 32631325 41768096 52210120 65262650 83536192 95283469 104420240 130525300 190566938 208840480 261050600 381133876 417680960 476417345 522101200 762267752 952834690 1044202400 1524535504 1905669380 2088404800 2382086725 3049071008 3811338760 4764173450 6098142016 7622677520 9528346900 15245355040 19056693800 30490710080 38113387600 76226775200 152453550400