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1553200104400 = 245273714992279
BaseRepresentation
bin10110100110100001111…
…100001100001111010000
312111111002012000110022121
4112212201330030033100
5200421423211320100
63145310312344024
7220133514024520
oct26464174141720
95444065013277
101553200104400
11549787a7021a
1221102b6a5014
13b360a160519
1455264db1680
152a607b5d51a
hex169a1f0c3d0

1553200104400 has 120 divisors (see below), whose sum is σ = 4379904648320. Its totient is φ = 518133127680.

The previous prime is 1553200104359. The next prime is 1553200104479. The reversal of 1553200104400 is 44010023551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7392540 + ... + 7599739.

Almost surely, 21553200104400 is an apocalyptic number.

1553200104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1553200104400 is an abundant number, since it is smaller than the sum of its proper divisors (2826704543920).

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

1553200104400 is a wasteful number, since it uses less digits than its factorization.

1553200104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14992341 (or 14992330 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1553200104400 its reverse (44010023551), we get a palindrome (1597210127951).

The spelling of 1553200104400 in words is "one trillion, five hundred fifty-three billion, two hundred million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 80 100 112 140 148 175 185 200 259 280 296 350 370 400 518 560 592 700 740 925 1036 1295 1400 1480 1850 2072 2590 2800 2960 3700 4144 5180 6475 7400 10360 12950 14800 20720 25900 51800 103600 14992279 29984558 59969116 74961395 104945953 119938232 149922790 209891906 239876464 299845580 374806975 419783812 524729765 554714323 599691160 749613950 839567624 1049459530 1109428646 1199382320 1499227900 1679135248 2098919060 2218857292 2623648825 2773571615 2998455800 3883000261 4197838120 4437714584 5247297650 5547143230 5996911600 7766000522 8395676240 8875429168 10494595300 11094286460 13867858075 15532001044 19415001305 20989190600 22188572920 27735716150 31064002088 38830002610 41978381200 44377145840 55471432300 62128004176 77660005220 97075006525 110942864600 155320010440 194150013050 221885729200 310640020880 388300026100 776600052200 1553200104400