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51437073792 = 2731325740093
BaseRepresentation
bin101111111001111000…
…110111010110000000
311220202201221002021010
4233321320313112000
51320320342330132
635344015000520
73500441625156
oct577170672600
9156681832233
1051437073792
111a8a5983945
129b76209140
134b096cc150
1426bd5333d6
151510b0e6cc
hexbf9e37580

51437073792 has 128 divisors (see below), whose sum is σ = 147715918560. Its totient is φ = 15764815872.

The previous prime is 51437073769. The next prime is 51437073797. The reversal of 51437073792 is 29737073415.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51437073797) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1262898 + ... + 1302990.

Almost surely, 251437073792 is an apocalyptic number.

51437073792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51437073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73857959280).

51437073792 is an abundant number, since it is smaller than the sum of its proper divisors (96278844768).

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

51437073792 is a wasteful number, since it uses less digits than its factorization.

51437073792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40380 (or 40368 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 48.

The spelling of 51437073792 in words is "fifty-one billion, four hundred thirty-seven million, seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 257 312 384 416 514 624 771 832 1028 1248 1542 1664 2056 2496 3084 3341 4112 4992 6168 6682 8224 10023 12336 13364 16448 20046 24672 26728 32896 40092 40093 49344 53456 80184 80186 98688 106912 120279 160368 160372 213824 240558 320736 320744 427648 481116 521209 641472 641488 962232 1042418 1282944 1282976 1563627 1924464 2084836 2565952 3127254 3848928 4169672 5131904 6254508 7697856 8339344 10303901 12509016 15395712 16678688 20607802 25018032 30911703 33357376 41215604 50036064 61823406 66714752 82431208 100072128 123646812 133950713 164862416 200144256 247293624 267901426 329724832 401852139 494587248 535802852 659449664 803704278 989174496 1071605704 1318899328 1607408556 1978348992 2143211408 3214817112 3956697984 4286422816 6429634224 8572845632 12859268448 17145691264 25718536896 51437073792