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153425330400 = 25352521122701
BaseRepresentation
bin1000111011100011011…
…1001100000011100000
3112200000110211022211110
42032320313030003200
510003203341033100
6154252125143320
714041010535156
oct2167067140340
9480013738743
10153425330400
115a081665621
12258999bab40
1311611103994
1475d66733d6
153ece68c250
hex23b8dcc0e0

153425330400 has 144 divisors (see below), whose sum is σ = 500362068528. Its totient is φ = 40834560000.

The previous prime is 153425330393. The next prime is 153425330449. The reversal of 153425330400 is 4033524351.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1189050 + ... + 1311750.

It is an arithmetic number, because the mean of its divisors is an integer number (3474736587).

Almost surely, 2153425330400 is an apocalyptic number.

153425330400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153425330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250181034264).

153425330400 is an abundant number, since it is smaller than the sum of its proper divisors (346936738128).

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

153425330400 is a wasteful number, since it uses less digits than its factorization.

153425330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123245 (or 123232 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 153425330400 its reverse (4033524351), we get a palindrome (157458854751).

The spelling of 153425330400 in words is "one hundred fifty-three billion, four hundred twenty-five million, three hundred thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 521 600 800 1042 1200 1563 2084 2400 2605 3126 4168 5210 6252 7815 8336 10420 12504 13025 15630 16672 20840 25008 26050 31260 39075 41680 50016 52100 62520 78150 83360 104200 122701 125040 156300 208400 245402 250080 312600 368103 416800 490804 613505 625200 736206 981608 1227010 1250400 1472412 1840515 1963216 2454020 2944824 3067525 3681030 3926432 4908040 5889648 6135050 7362060 9202575 9816080 11779296 12270100 14724120 18405150 19632160 24540200 29448240 36810300 49080400 58896480 63927221 73620600 98160800 127854442 147241200 191781663 255708884 294482400 319636105 383563326 511417768 639272210 767126652 958908315 1022835536 1278544420 1534253304 1598180525 1917816630 2045671072 2557088840 3068506608 3196361050 3835633260 4794541575 5114177680 6137013216 6392722100 7671266520 9589083150 10228355360 12785444200 15342533040 19178166300 25570888400 30685066080 38356332600 51141776800 76712665200 153425330400