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5407536680 = 2357133740151
BaseRepresentation
bin1010000100101000…
…00111011000101000
3111221212020022210022
411002110013120220
542033312133210
62252330140012
7251001206030
oct50224073050
914855208708
105407536680
112325460387
12106ab81608
1368240b760
143942688c0
15219b08155
hex142507628

5407536680 has 128 divisors (see below), whose sum is σ = 15379822080. Its totient is φ = 1665100800.

The previous prime is 5407536611. The next prime is 5407536733. The reversal of 5407536680 is 866357045.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114605 + ... + 154755.

It is an arithmetic number, because the mean of its divisors is an integer number (120154860).

Almost surely, 25407536680 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 5407536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689911040).

5407536680 is an abundant number, since it is smaller than the sum of its proper divisors (9972285400).

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

5407536680 is a wasteful number, since it uses less digits than its factorization.

5407536680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40219 (or 40215 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 5407536680 is about 73535.9550152169. The cubic root of 5407536680 is about 1755.2264629855.

The spelling of 5407536680 in words is "five billion, four hundred seven million, five hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 52 56 65 70 74 91 104 130 140 148 182 185 259 260 280 296 364 370 455 481 518 520 728 740 910 962 1036 1295 1480 1820 1924 2072 2405 2590 3367 3640 3848 4810 5180 6734 9620 10360 13468 16835 19240 26936 33670 40151 67340 80302 134680 160604 200755 281057 321208 401510 521963 562114 803020 1043926 1124228 1405285 1485587 1606040 2087852 2248456 2609815 2810570 2971174 3653741 4175704 5219630 5621140 5942348 7307482 7427935 10399109 10439260 11242280 11884696 14614964 14855870 18268705 19312631 20798218 20878520 29229928 29711740 36537410 38625262 41596436 51995545 59423480 73074820 77250524 83192872 96563155 103991090 135188417 146149640 154501048 193126310 207982180 270376834 386252620 415964360 540753668 675942085 772505240 1081507336 1351884170 2703768340 5407536680