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5415761540 = 2257531734219
BaseRepresentation
bin1010000101100110…
…11111011010000100
3111222102201012011202
411002303133122010
542042413332130
62253222322032
7251131133150
oct50263373204
914872635152
105415761540
11232a068892
121071889318
1368402b337
143953aa060
1521a6d0145
hex142cdf684

5415761540 has 96 divisors (see below), whose sum is σ = 13322776320. Its totient is φ = 1810838016.

The previous prime is 5415761531. The next prime is 5415761563. The reversal of 5415761540 is 451675145.

It is a junction number, because it is equal to n+sod(n) for n = 5415761494 and 5415761503.

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, 1281551 + ... + 1285769.

It is an arithmetic number, because the mean of its divisors is an integer number (138778920).

Almost surely, 25415761540 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 5415761540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661388160).

5415761540 is an abundant number, since it is smaller than the sum of its proper divisors (7907014780).

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

5415761540 is a wasteful number, since it uses less digits than its factorization.

5415761540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The square root of 5415761540 is about 73591.8578376711. The cubic root of 5415761540 is about 1756.1159116482.

The spelling of 5415761540 in words is "five billion, four hundred fifteen million, seven hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 173 212 265 346 371 530 692 742 865 1060 1211 1484 1730 1855 2422 3460 3710 4219 4844 6055 7420 8438 9169 12110 16876 18338 21095 24220 29533 36676 42190 45845 59066 64183 84380 91690 118132 128366 147665 183380 223607 256732 295330 320915 447214 590660 641830 729887 894428 1118035 1283660 1459774 1565249 2236070 2919548 3130498 3649435 4472140 5109209 6260996 7298870 7826245 10218418 14597740 15652490 20436836 25546045 31304980 38684011 51092090 77368022 102184180 154736044 193420055 270788077 386840110 541576154 773680220 1083152308 1353940385 2707880770 5415761540