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21376147248 = 24321393373169
BaseRepresentation
bin10011111010000111…
…100001111100110000
32001011201222210101100
4103322013201330300
5322234243202443
613453045004400
71354502153001
oct237207417460
961151883340
1021376147248
11907a3068a5
1241869b3700
132028824451
14106ad891a8
1585199d3d3
hex4fa1e1f30

21376147248 has 120 divisors (see below), whose sum is σ = 60451773200. Its totient is φ = 7050903552.

The previous prime is 21376147231. The next prime is 21376147253. The reversal of 21376147248 is 84274167312.

21376147248 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 614 + 7 + 24 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6743808 + ... + 6746976.

Almost surely, 221376147248 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 21376147248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30225886600).

21376147248 is an abundant number, since it is smaller than the sum of its proper divisors (39075625952).

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

21376147248 is a wasteful number, since it uses less digits than its factorization.

21376147248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3650 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 21376147248 in words is "twenty-one billion, three hundred seventy-six million, one hundred forty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 337 417 556 674 834 1011 1112 1251 1348 1668 2022 2224 2502 2696 3033 3169 3336 4044 5004 5392 6066 6338 6672 8088 9507 10008 12132 12676 16176 19014 20016 24264 25352 28521 38028 46843 48528 50704 57042 76056 93686 114084 140529 152112 187372 228168 281058 374744 421587 440491 456336 562116 749488 843174 880982 1067953 1124232 1321473 1686348 1761964 2135906 2248464 2642946 3203859 3372696 3523928 3964419 4271812 5285892 6407718 6745392 7047856 7928838 8543624 9611577 10571784 12815436 15857676 17087248 19223154 21143568 25630872 31715352 38446308 51261744 63430704 76892616 148445467 153785232 296890934 445336401 593781868 890672802 1187563736 1336009203 1781345604 2375127472 2672018406 3562691208 5344036812 7125382416 10688073624 21376147248