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10005553140024 = 2331341782172697
BaseRepresentation
bin1001000110011001100101…
…1100001101000100111000
31022102112002012102222212010
42101212121130031010320
52302412333100440044
633140253200045520
72051606635302021
oct221463134150470
938375065388763
1010005553140024
1132083709a3342
1211571876038a0
1357769a7868b0
142683b2859c48
1512540270cbb9
hex9199970d138

10005553140024 has 64 divisors (see below), whose sum is σ = 27595052785440. Its totient is φ = 3003543152640.

The previous prime is 10005553140017. The next prime is 10005553140031. The reversal of 10005553140024 is 42004135550001.

It is an interprime number because it is at equal distance from previous prime (10005553140017) and next prime (10005553140031).

It is a super-2 number, since 2×100055531400242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005553139973 and 10005553140000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391073557 + ... + 391099140.

Almost surely, 210005553140024 is an apocalyptic number.

It is an amenable number.

10005553140024 is an abundant number, since it is smaller than the sum of its proper divisors (17589499645416).

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

10005553140024 is a wasteful number, since it uses less digits than its factorization.

10005553140024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782172760 (or 782172756 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 10005553140024 its reverse (42004135550001), we get a palindrome (52009688690025).

The spelling of 10005553140024 in words is "ten trillion, five billion, five hundred fifty-three million, one hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 782172697 1564345394 2346518091 3128690788 4693036182 6257381576 9386072364 10168245061 18772144728 20336490122 30504735183 32069080577 40672980244 61009470366 64138161154 81345960488 96207241731 122018940732 128276322308 192414483462 244037881464 256552644616 384828966924 416898047501 769657933848 833796095002 1250694142503 1667592190004 2501388285006 3335184380008 5002776570012 10005553140024