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6045631147400 = 2352134289542141
BaseRepresentation
bin101011111111001101110…
…1100100110110110001000
3210101221211102121000102112
41113332123230212312020
51243022423033204100
620505154040521452
71162532242603265
oct127763354466610
923357742530375
106045631147400
111a20a3519a919
12817825780288
1334b13cc53b30
1416c8781d226c
15a73d9ee7b35
hex57f9bb26d88

6045631147400 has 96 divisors (see below), whose sum is σ = 15140887561800. Its totient is φ = 2231708467200.

The previous prime is 6045631147349. The next prime is 6045631147453. The reversal of 6045631147400 is 47411365406.

It can be written as a sum of positive squares in 12 ways, for example, as 2553604 + 6045628593796 = 1598^2 + 2458786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10880330 + ... + 11422470.

Almost surely, 26045631147400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6045631147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570443780900).

6045631147400 is an abundant number, since it is smaller than the sum of its proper divisors (9095256414400).

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

6045631147400 is a wasteful number, since it uses less digits than its factorization.

6045631147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546459 (or 546450 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 6045631147400 in words is "six trillion, forty-five billion, six hundred thirty-one million, one hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 4289 8578 17156 21445 34312 42890 55757 85780 107225 111514 171560 214450 223028 278785 428900 446056 542141 557570 857800 1084282 1115140 1393925 2168564 2230280 2710705 2787850 4337128 5421410 5575700 7047833 10842820 11151400 13553525 14095666 21685640 27107050 28191332 35239165 54214100 56382664 70478330 108428200 140956660 176195825 281913320 352391650 704783300 1409566600 2325242749 4650485498 9300970996 11626213745 18601941992 23252427490 30228155737 46504854980 58131068725 60456311474 93009709960 116262137450 120912622948 151140778685 232524274900 241825245896 302281557370 465048549800 604563114740 755703893425 1209126229480 1511407786850 3022815573700 6045631147400