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40767034368 = 210339733427
BaseRepresentation
bin100101111101111001…
…111001010000000000
310220020010100220211210
4211331321321100000
51131442330044433
630421135010120
72642150034414
oct457571712000
9126203326753
1040767034368
111631aa23345
127a98969940
133ac8c62658
141d8a3d4d44
1510d8eeb463
hex97de79400

40767034368 has 88 divisors (see below), whose sum is σ = 108935968672. Its totient is φ = 13554376704.

The previous prime is 40767034367. The next prime is 40767034397. The reversal of 40767034368 is 86343076704.

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 (40767034367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1202871 + ... + 1236297.

Almost surely, 240767034368 is an apocalyptic number.

40767034368 is a gapful number since it is divisible by the number (48) 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 40767034368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54467984336).

40767034368 is an abundant number, since it is smaller than the sum of its proper divisors (68168934304).

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

40767034368 is a wasteful number, since it uses less digits than its factorization.

40767034368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33847 (or 33829 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 40767034368 in words is "forty billion, seven hundred sixty-seven million, thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 397 512 768 794 1024 1191 1536 1588 2382 3072 3176 4764 6352 9528 12704 19056 25408 33427 38112 50816 66854 76224 100281 101632 133708 152448 200562 203264 267416 304896 401124 406528 534832 609792 802248 1069664 1219584 1604496 2139328 3208992 4278656 6417984 8557312 12835968 13270519 17114624 25671936 26541038 34229248 39811557 51343872 53082076 79623114 102687744 106164152 159246228 212328304 318492456 424656608 636984912 849313216 1273969824 1698626432 2547939648 3397252864 5095879296 6794505728 10191758592 13589011456 20383517184 40767034368