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56155503200 = 25521922316567
BaseRepresentation
bin110100010011001000…
…001111101001100000
312100221120111010120212
4310103020033221200
51410001302100300
641444131153252
74025404621136
oct642310175140
9170846433525
1056155503200
11218a7354785
12aa72445828
1353ac113504
142a0a05b756
1516d9e97935
hexd1320fa60

56155503200 has 144 divisors (see below), whose sum is σ = 144960721920. Its totient is φ = 21183275520.

The previous prime is 56155503199. The next prime is 56155503203. The reversal of 56155503200 is 230555165.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56155503203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3381317 + ... + 3397883.

It is an arithmetic number, because the mean of its divisors is an integer number (1006671680).

Almost surely, 256155503200 is an apocalyptic number.

56155503200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56155503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72480360960).

56155503200 is an abundant number, since it is smaller than the sum of its proper divisors (88805218720).

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

56155503200 is a wasteful number, since it uses less digits than its factorization.

56155503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16816 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

The spelling of 56155503200 in words is "fifty-six billion, one hundred fifty-five million, five hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 152 160 190 200 223 304 380 400 446 475 608 760 800 892 950 1115 1520 1784 1900 2230 3040 3568 3800 4237 4460 5575 7136 7600 8474 8920 11150 15200 16567 16948 17840 21185 22300 33134 33896 35680 42370 44600 66268 67792 82835 84740 89200 105925 132536 135584 165670 169480 178400 211850 265072 314773 331340 338960 414175 423700 530144 629546 662680 677920 828350 847400 1259092 1325360 1573865 1656700 1694800 2518184 2650720 3147730 3313400 3389600 3694441 5036368 6295460 6626800 7388882 7869325 10072736 12590920 13253600 14777764 15738650 18472205 25181840 29555528 31477300 36944410 50363680 59111056 62954600 70194379 73888820 92361025 118222112 125909200 140388758 147777640 184722050 251818400 280777516 295555280 350971895 369444100 561555032 591110560 701943790 738888200 1123110064 1403887580 1477776400 1754859475 2246220128 2807775160 2955552800 3509718950 5615550320 7019437900 11231100640 14038875800 28077751600 56155503200