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31367450496 = 273298931649
BaseRepresentation
bin11101001101101001…
…010100111110000000
32222222001101120210210
4131031221110332000
51003220031403441
622224321154120
72160212633664
oct351551247600
988861346723
1031367450496
1112337120908
1260b4a8b940
132c5b7882c5
141737cc68a4
15c38bde616
hex74da54f80

31367450496 has 128 divisors (see below), whose sum is σ = 87164100000. Its totient is φ = 9981526016.

The previous prime is 31367450437. The next prime is 31367450503. The reversal of 31367450496 is 69405476313.

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 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, 975280 + ... + 1006928.

Almost surely, 231367450496 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 31367450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43582050000).

31367450496 is an abundant number, since it is smaller than the sum of its proper divisors (55796649504).

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

31367450496 is a wasteful number, since it uses less digits than its factorization.

31367450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31784 (or 31772 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 31367450496 in words is "thirty-one billion, three hundred sixty-seven million, four hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 89 96 116 128 174 178 192 232 267 348 356 384 464 534 696 712 928 1068 1392 1424 1856 2136 2581 2784 2848 3712 4272 5162 5568 5696 7743 8544 10324 11136 11392 15486 17088 20648 30972 31649 34176 41296 61944 63298 82592 94947 123888 126596 165184 189894 247776 253192 330368 379788 495552 506384 759576 917821 991104 1012768 1519152 1835642 2025536 2753463 2816761 3038304 3671284 4051072 5506926 5633522 6076608 7342568 8450283 11013852 11267044 12153216 14685136 16900566 22027704 22534088 29370272 33801132 44055408 45068176 58740544 67602264 81686069 88110816 90136352 117481088 135204528 163372138 176221632 180272704 245058207 270409056 326744276 352443264 360545408 490116414 540818112 653488552 980232828 1081636224 1306977104 1960465656 2613954208 3920931312 5227908416 7841862624 10455816832 15683725248 31367450496