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5335177540 = 22571110134301
BaseRepresentation
bin1001111100000000…
…00101100101000100
3111202211002002201011
410332000011211010
541411301140130
62241223212004
7246132155320
oct47600054504
914684062634
105335177540
112298628940
12104a8a7004
136704251b4
143887d0980
152135b352a
hex13e005944

5335177540 has 96 divisors (see below), whose sum is σ = 14107177728. Its totient is φ = 1646400000.

The previous prime is 5335177517. The next prime is 5335177567. The reversal of 5335177540 is 457715335.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5335177493 and 5335177502.

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, 138390 + ... + 172690.

It is an arithmetic number, because the mean of its divisors is an integer number (146949768).

Almost surely, 25335177540 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 5335177540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053588864).

5335177540 is an abundant number, since it is smaller than the sum of its proper divisors (8772000188).

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

5335177540 is a wasteful number, since it uses less digits than its factorization.

5335177540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34429 (or 34427 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 40.

The square root of 5335177540 is about 73042.2996625928. The cubic root of 5335177540 is about 1747.3622891297.

The spelling of 5335177540 in words is "five billion, three hundred thirty-five million, one hundred seventy-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 14140 15554 22220 31108 34301 38885 68602 77770 137204 155540 171505 240107 343010 377311 480214 686020 754622 960428 1200535 1509244 1886555 2401070 2641177 3464401 3773110 4802140 5282354 6928802 7546220 10564708 13205885 13857604 17322005 24250807 26411770 34644010 38108411 48501614 52823540 69288020 76216822 97003228 121254035 152433644 190542055 242508070 266758877 381084110 485016140 533517754 762168220 1067035508 1333794385 2667588770 5335177540