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51150550050 = 23252383463641
BaseRepresentation
bin101111101000110011…
…110111010000100010
311220000202210011120200
4233220303313100202
51314224020100200
635255341450030
73460362334035
oct575063672042
9156022704520
1051150550050
111a769174366
129ab6270916
134a9223c282
14269346b01c
1514e58b3800
hexbe8cf7422

51150550050 has 144 divisors (see below), whose sum is σ = 138296291328. Its totient is φ = 13553971200.

The previous prime is 51150550049. The next prime is 51150550051. The reversal of 51150550050 is 5005505115.

51150550050 is a `hidden beast` number, since 5 + 1 + 150 + 5 + 500 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51150550049) and next prime (51150550051).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51150549996 and 51150550023.

It is not an unprimeable number, because it can be changed into a prime (51150550051) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 79797730 + ... + 79798370.

It is an arithmetic number, because the mean of its divisors is an integer number (960390912).

Almost surely, 251150550050 is an apocalyptic number.

51150550050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51150550050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69148145664).

51150550050 is an abundant number, since it is smaller than the sum of its proper divisors (87145741278).

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

51150550050 is a wasteful number, since it uses less digits than its factorization.

51150550050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 51150550050 in words is "fifty-one billion, one hundred fifty million, five hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 383 450 463 641 766 926 1149 1282 1389 1915 1923 2298 2315 2778 3205 3447 3830 3846 4167 4630 5745 5769 6410 6894 6945 8334 9575 9615 11490 11538 11575 13890 16025 17235 19150 19230 20835 23150 28725 28845 32050 34470 34725 41670 48075 57450 57690 69450 86175 96150 104175 144225 172350 177329 208350 245503 288450 296783 354658 491006 531987 593566 736509 886645 890349 1063974 1227515 1473018 1483915 1595961 1773290 1780698 2209527 2455030 2659935 2671047 2967830 3191922 3682545 4419054 4433225 4451745 5319870 5342094 6137575 7365090 7419575 7979805 8866450 8903490 11047635 12275150 13299675 13355235 14839150 15959610 18412725 22095270 22258725 26599350 26710470 36825450 39899025 44517450 55238175 66776175 79798050 110476350 113667889 133552350 227335778 341003667 568339445 682007334 1023011001 1136678890 1705018335 2046022002 2841697225 3410036670 5115055005 5683394450 8525091675 10230110010 17050183350 25575275025 51150550050