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200753951552 = 26711127320767
BaseRepresentation
bin1011101011110111011…
…1100011001101000000
3201012011212222101120222
42322331313203031000
511242121002422202
6232120341522212
720334604301330
oct2727567431500
9635155871528
10200753951552
1178159410160
1232aa8113368
1315c1459b45b
149a062a10c0
15534e7524a2
hex2ebdde3340

200753951552 has 112 divisors (see below), whose sum is σ = 500582842368. Its totient is φ = 77599710720.

The previous prime is 200753951549. The next prime is 200753951561. The reversal of 200753951552 is 255159357002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465473 + ... + 786239.

It is an arithmetic number, because the mean of its divisors is an integer number (4469489664).

Almost surely, 2200753951552 is an apocalyptic number.

200753951552 is a gapful number since it is divisible by the number (22) 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 200753951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250291421184).

200753951552 is an abundant number, since it is smaller than the sum of its proper divisors (299828890816).

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

200753951552 is a wasteful number, since it uses less digits than its factorization.

200753951552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320924 (or 320914 counting only the distinct ones).

The product of its (nonzero) digits is 472500, while the sum is 44.

The spelling of 200753951552 in words is "two hundred billion, seven hundred fifty-three million, nine hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 127 154 176 224 254 308 352 448 508 616 704 889 1016 1232 1397 1778 2032 2464 2794 3556 4064 4928 5588 7112 8128 9779 11176 14224 19558 22352 28448 39116 44704 56896 78232 89408 156464 312928 320767 625856 641534 1283068 2245369 2566136 3528437 4490738 5132272 7056874 8981476 10264544 14113748 17962952 20529088 24699059 28227496 35925904 40737409 49398118 56454992 71851808 81474818 98796236 112909984 143703616 162949636 197592472 225819968 285161863 325899272 395184944 448111499 570323726 651798544 790369888 896222998 1140647452 1303597088 1580739776 1792445996 2281294904 2607194176 3136780493 3584891992 4562589808 6273560986 7169783984 9125179616 12547121972 14339567968 18250359232 25094243944 28679135936 50188487888 100376975776 200753951552