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45102413620 = 225112433671181
BaseRepresentation
bin101010000000010100…
…000011011100110100
311022102021011000010201
4222000110003130310
51214332204213440
632415245130244
73154452122155
oct520024033464
9138367130121
1045102413620
1118145155a00
1288a8859984
13433a1bb414
14227c0cb92c
15128e91d19a
hexa80503734

45102413620 has 144 divisors (see below), whose sum is σ = 106910141184. Its totient is φ = 15962284800.

The previous prime is 45102413561. The next prime is 45102413683. The reversal of 45102413620 is 2631420154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38189430 + ... + 38190610.

It is an arithmetic number, because the mean of its divisors is an integer number (742431536).

Almost surely, 245102413620 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 45102413620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53455070592).

45102413620 is an abundant number, since it is smaller than the sum of its proper divisors (61807727564).

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

45102413620 is a wasteful number, since it uses less digits than its factorization.

45102413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 45102413620 its reverse (2631420154), we get a palindrome (47733833774).

The spelling of 45102413620 in words is "forty-five billion, one hundred two million, four hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 367 430 473 484 605 734 860 946 1181 1210 1468 1835 1892 2362 2365 2420 3670 4037 4724 4730 5203 5905 7340 8074 9460 10406 11810 12991 15781 16148 20185 20812 23620 25982 26015 31562 40370 44407 50783 51964 52030 63124 64955 78905 80740 88814 101566 104060 129910 142901 157810 173591 177628 203132 222035 253915 259820 285802 315620 347182 433427 444070 507830 558613 571604 694364 714505 866854 867955 888140 1015660 1117226 1429010 1733708 1735910 1909501 2167135 2234452 2793065 2858020 3471820 3819002 4334270 4767697 5586130 6144743 7638004 8668540 9535394 9547505 11172260 12289486 18637361 19070788 19095010 23838485 24578972 30723715 37274722 38190020 47676970 52444667 61447430 74549444 93186805 95353940 104889334 122894860 186373610 205010971 209778668 262223335 372747220 410021942 524446670 820043884 1025054855 1048893340 2050109710 2255120681 4100219420 4510241362 9020482724 11275603405 22551206810 45102413620