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20945149240 = 2354878291297
BaseRepresentation
bin10011100000011011…
…011001110100111000
32000001200222211021011
4103200123121310320
5320343424233430
613342211123304
71341016555021
oct234033316470
960050884234
1020945149240
118978a996a4
1240865a3534
131c8a44b842
141029a35c48
15828c1522a
hex4e06d9d38

20945149240 has 64 divisors (see below), whose sum is σ = 47316772800. Its totient is φ = 8344332288.

The previous prime is 20945149223. The next prime is 20945149261. The reversal of 20945149240 is 4294154902.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20945149193 and 20945149202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16148272 + ... + 16149568.

It is an arithmetic number, because the mean of its divisors is an integer number (739324575).

Almost surely, 220945149240 is an apocalyptic number.

20945149240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20945149240 is an abundant number, since it is smaller than the sum of its proper divisors (26371623560).

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

20945149240 is a wasteful number, since it uses less digits than its factorization.

20945149240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 20945149240 in words is "twenty billion, nine hundred forty-five million, one hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 487 829 974 1297 1658 1948 2435 2594 3316 3896 4145 4870 5188 6485 6632 8290 9740 10376 12970 16580 19480 25940 33160 51880 403723 631639 807446 1075213 1263278 1614892 2018615 2150426 2526556 3158195 3229784 4037230 4300852 5053112 5376065 6316390 8074460 8601704 10752130 12632780 16148920 21504260 25265560 43008520 523628731 1047257462 2094514924 2618143655 4189029848 5236287310 10472574620 20945149240