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73080068864 = 2811415771097
BaseRepresentation
bin100010000001111101…
…0010101101100000000
320222122002001011001012
41010003322111230000
52144131444200424
653323355300052
75164664223155
oct1040372255400
9228562034035
1073080068864
1128aa1880430
12121b644a628
136b785b46ca
143773b0222c
151d7ac1db0e
hex1103e95b00

73080068864 has 144 divisors (see below), whose sum is σ = 163448754336. Its totient is φ = 32322355200.

The previous prime is 73080068827. The next prime is 73080068881. The reversal of 73080068864 is 46886008037.

It is a happy 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, 66617564 + ... + 66618660.

It is an arithmetic number, because the mean of its divisors is an integer number (1135060794).

Almost surely, 273080068864 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 73080068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81724377168).

73080068864 is an abundant number, since it is smaller than the sum of its proper divisors (90368685472).

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

73080068864 is a wasteful number, since it uses less digits than its factorization.

73080068864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 73080068864 in words is "seventy-three billion, eighty million, sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 577 656 704 902 1097 1154 1312 1408 1804 2194 2308 2624 2816 3608 4388 4616 5248 6347 7216 8776 9232 10496 12067 12694 14432 17552 18464 23657 24134 25388 28864 35104 36928 44977 47314 48268 50776 57728 70208 73856 89954 94628 96536 101552 115456 140416 147712 179908 189256 193072 203104 260227 280832 359816 378512 386144 406208 494747 520454 632969 719632 757024 772288 812416 989494 1040908 1265938 1439264 1514048 1544576 1624832 1978988 2081816 2531876 2878528 3028096 3089152 3957976 4163632 5063752 5757056 6056192 6962659 7915952 8327264 10127504 11514112 13925318 15831904 16654528 20255008 25951729 27850636 31663808 33309056 40510016 51903458 55701272 63327616 66618112 81020032 103806916 111402544 126655232 162040064 207613832 222805088 285469019 415227664 445610176 570938038 830455328 891220352 1141876076 1660910656 1782440704 2283752152 3321821312 4567504304 6643642624 9135008608 18270017216 36540034432 73080068864