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21980678500 = 2253112363317
BaseRepresentation
bin10100011110001001…
…101000100101100100
32002201212112011100201
4110132021220211210
5330004023203000
614033042120244
71405462453534
oct243611504544
962655464321
1021980678500
11935a57a100
124315350084
1320c3b48651
1410c73914c4
15889ab396a
hex51e268964

21980678500 has 72 divisors (see below), whose sum is σ = 52766853048. Its totient is φ = 7992952000.

The previous prime is 21980678497. The next prime is 21980678549. The reversal of 21980678500 is 587608912.

It can be written as a sum of positive squares in 4 ways, for example, as 234457344 + 21746221156 = 15312^2 + 147466^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 121159 + ... + 242158.

It is an arithmetic number, because the mean of its divisors is an integer number (732872959).

Almost surely, 221980678500 is an apocalyptic number.

21980678500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21980678500 is an abundant number, since it is smaller than the sum of its proper divisors (30786174548).

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

21980678500 is a wasteful number, since it uses less digits than its factorization.

21980678500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363358 (or 363335 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 21980678500 in words is "twenty-one billion, nine hundred eighty million, six hundred seventy-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 5500 6050 12100 15125 30250 60500 363317 726634 1453268 1816585 3633170 3996487 7266340 7992974 9082925 15985948 18165850 19982435 36331700 39964870 43961357 45414625 79929740 87922714 90829250 99912175 175845428 181658500 199824350 219806785 399648700 439613570 499560875 879227140 999121750 1099033925 1998243500 2198067850 4396135700 5495169625 10990339250 21980678500