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56493100480 = 2652331247603
BaseRepresentation
bin110100100111010000…
…000100110111000000
312101211002201211222211
4310213100010313000
51411144213203410
641541431111504
74036644300565
oct644720046700
9171732654884
1056493100480
1121a5a9785a3
12ab47512594
13543404630b
142a3cc1a86c
15170993168a
hexd27404dc0

56493100480 has 112 divisors (see below), whose sum is σ = 144901822464. Its totient is φ = 20917416960.

The previous prime is 56493100451. The next prime is 56493100483. The reversal of 56493100480 is 8400139465.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56493100483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104359 + ... + 351961.

It is an arithmetic number, because the mean of its divisors is an integer number (1293766272).

Almost surely, 256493100480 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 56493100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72450911232).

56493100480 is an abundant number, since it is smaller than the sum of its proper divisors (88408721984).

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

56493100480 is a wasteful number, since it uses less digits than its factorization.

56493100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247674 (or 247664 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 56493100480 in words is "fifty-six billion, four hundred ninety-three million, one hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 31 32 40 46 62 64 80 92 115 124 155 160 184 230 248 310 320 368 460 496 620 713 736 920 992 1240 1426 1472 1840 1984 2480 2852 3565 3680 4960 5704 7130 7360 9920 11408 14260 22816 28520 45632 57040 114080 228160 247603 495206 990412 1238015 1980824 2476030 3961648 4952060 5694869 7675693 7923296 9904120 11389738 15351386 15846592 19808240 22779476 28474345 30702772 38378465 39616480 45558952 56948690 61405544 76756930 79232960 91117904 113897380 122811088 153513860 176540939 182235808 227794760 245622176 307027720 353081878 364471616 455589520 491244352 614055440 706163756 882704695 911179040 1228110880 1412327512 1765409390 1822358080 2456221760 2824655024 3530818780 5649310048 7061637560 11298620096 14123275120 28246550240 56493100480