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56503939440 = 24351330758991
BaseRepresentation
bin110100100111111001…
…011011000101110000
312101211212010112020210
4310213321123011300
51411210002030230
641542455304120
74040135363214
oct644771330560
9171755115223
1056503939440
1121a66001013
12ab4b07b040
13543636c9c0
142a4043c944
15170a872eb0
hexd27e5b170

56503939440 has 160 divisors (see below), whose sum is σ = 189253886976. Its totient is φ = 13863121920.

The previous prime is 56503939439. The next prime is 56503939477. The reversal of 56503939440 is 4493930565.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56503939440.

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 31 ways as a sum of consecutive naturals, for example, 928345 + ... + 987335.

Almost surely, 256503939440 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 56503939440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94626943488).

56503939440 is an abundant number, since it is smaller than the sum of its proper divisors (132749947536).

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

56503939440 is a wasteful number, since it uses less digits than its factorization.

56503939440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59327 (or 59321 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The spelling of 56503939440 in words is "fifty-six billion, five hundred three million, nine hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 307 312 390 520 614 624 780 921 1040 1228 1535 1560 1842 2456 3070 3120 3684 3991 4605 4912 6140 7368 7982 9210 11973 12280 14736 15964 18420 19955 23946 24560 31928 36840 39910 47892 58991 59865 63856 73680 79820 95784 117982 119730 159640 176973 191568 235964 239460 294955 319280 353946 471928 478920 589910 707892 766883 884865 943856 957840 1179820 1415784 1533766 1769730 2300649 2359640 2831568 3067532 3539460 3834415 4601298 4719280 6135064 7078920 7668830 9202596 11503245 12270128 14157840 15337660 18110237 18405192 23006490 30675320 36220474 36810384 46012980 54330711 61350640 72440948 90551185 92025960 108661422 144881896 181102370 184051920 217322844 235433081 271653555 289763792 362204740 434645688 470866162 543307110 706299243 724409480 869291376 941732324 1086614220 1177165405 1412598486 1448818960 1883464648 2173228440 2354330810 2825196972 3531496215 3766929296 4346456880 4708661620 5650393944 7062992430 9417323240 11300787888 14125984860 18834646480 28251969720 56503939440