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20503150400 = 265237346337
BaseRepresentation
bin10011000110000101…
…010011111101000000
31221220220021221211202
4103012011103331000
5313442301303100
613230301400332
71324041621455
oct230605237500
957826257752
1020503150400
1187715483a7
123b825690a8
131c199c3975
14dc705b82c
158000077d5
hex4c6153f40

20503150400 has 84 divisors (see below), whose sum is σ = 51814242828. Its totient is φ = 7979581440.

The previous prime is 20503150391. The next prime is 20503150487. The reversal of 20503150400 is 405130502.

It can be written as a sum of positive squares in 6 ways, for example, as 522762496 + 19980387904 = 22864^2 + 141352^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113969 + ... + 232368.

Almost surely, 220503150400 is an apocalyptic number.

20503150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20503150400 is an abundant number, since it is smaller than the sum of its proper divisors (31311092428).

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

20503150400 is a wasteful number, since it uses less digits than its factorization.

20503150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346396 (or 346381 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 20503150400 its reverse (405130502), we get a palindrome (20908280902).

The spelling of 20503150400 in words is "twenty billion, five hundred three million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 148 160 185 200 296 320 370 400 592 740 800 925 1184 1480 1600 1850 2368 2960 3700 5920 7400 11840 14800 29600 59200 346337 692674 1385348 1731685 2770696 3463370 5541392 6926740 8658425 11082784 12814469 13853480 17316850 22165568 25628938 27706960 34633700 51257876 55413920 64072345 69267400 102515752 110827840 128144690 138534800 205031504 256289380 277069600 320361725 410063008 512578760 554139200 640723450 820126016 1025157520 1281446900 2050315040 2562893800 4100630080 5125787600 10251575200 20503150400