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5515600064 = 2613371391289
BaseRepresentation
bin1010010001100000…
…10110000011000000
3112020101120111212212
411020300112003000
542243443200224
62311150241252
7253452553442
oct51060260300
915211514785
105515600064
112380459a67
12109b1b6228
1369b9164a0
143a4758492
15224351d0e
hex148c160c0

5515600064 has 112 divisors (see below), whose sum is σ = 12202058400. Its totient is φ = 2457133056.

The previous prime is 5515600019. The next prime is 5515600087. The reversal of 5515600064 is 4600065155.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5515600064.

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, 4278332 + ... + 4279620.

It is an arithmetic number, because the mean of its divisors is an integer number (108946950).

Almost surely, 25515600064 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 5515600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101029200).

5515600064 is an abundant number, since it is smaller than the sum of its proper divisors (6686458336).

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

5515600064 is a wasteful number, since it uses less digits than its factorization.

5515600064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 5515600064 is about 74267.0860071943. The cubic root of 5515600064 is about 1766.8414910574.

The spelling of 5515600064 in words is "five billion, five hundred fifteen million, six hundred thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 139 148 208 278 296 416 481 556 592 832 962 1112 1184 1289 1807 1924 2224 2368 2578 3614 3848 4448 5143 5156 7228 7696 8896 10286 10312 14456 15392 16757 20572 20624 28912 30784 33514 41144 41248 47693 57824 66859 67028 82288 82496 95386 115648 133718 134056 164576 179171 190772 267436 268112 329152 358342 381544 534872 536224 620009 716684 763088 1069744 1072448 1240018 1433368 1526176 2139488 2329223 2480036 2866736 3052352 4278976 4658446 4960072 5733472 6629327 9316892 9920144 11466944 13258654 18633784 19840288 26517308 37267568 39680576 53034616 74535136 86181251 106069232 149070272 172362502 212138464 344725004 424276928 689450008 1378900016 2757800032 5515600064