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21321974648 = 23131923617691
BaseRepresentation
bin10011110110111000…
…111000001101111000
32001000222001112112202
4103312320320031320
5322131411142043
613443431525332
71353243536252
oct236670701570
961028045482
1021321974648
119051776157
124170829848
13201a537a60
141063ac6cd2
1584bd4c1b8
hex4f6e38378

21321974648 has 128 divisors (see below), whose sum is σ = 48071923200. Its totient is φ = 8770291200.

The previous prime is 21321974647. The next prime is 21321974701. The reversal of 21321974648 is 84647912312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21321974647) 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 31 ways as a sum of consecutive naturals, for example, 2768483 + ... + 2776173.

It is an arithmetic number, because the mean of its divisors is an integer number (375561900).

Almost surely, 221321974648 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 21321974648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24035961600).

21321974648 is an abundant number, since it is smaller than the sum of its proper divisors (26749948552).

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

21321974648 is a wasteful number, since it uses less digits than its factorization.

21321974648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7809 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The spelling of 21321974648 in words is "twenty-one billion, three hundred twenty-one million, nine hundred seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 61 76 92 104 122 152 184 244 247 299 437 488 494 598 793 874 988 1159 1196 1403 1586 1748 1976 2318 2392 2806 3172 3496 4636 5612 5681 6344 7691 9272 11224 11362 15067 15382 18239 22724 26657 30134 30764 36478 45448 53314 60268 61528 72956 99983 106628 120536 145912 146129 176893 199966 213256 292258 346541 353786 399932 469151 584516 693082 707572 799864 938302 1169032 1386164 1415144 1876604 1899677 2299609 2772328 3360967 3753208 3799354 4599218 6098963 6721934 7598708 8913869 9198436 10790473 12197926 13443868 15197416 17827738 18396872 21580946 24395852 26887736 35655476 43161892 43692571 48791704 71310952 86323784 87385142 115880297 140276149 174770284 205018987 231760594 280552298 349540568 410037974 463521188 561104596 820075948 927042376 1122209192 1640151896 2665246831 5330493662 10660987324 21321974648