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21026073360 = 2435194919391
BaseRepresentation
bin10011100101010000…
…000110101100010000
32000021100021012021210
4103211100012230100
5321030133321420
613354221420120
71343021450265
oct234520065420
960240235253
1021026073360
118a0a741136
1240a970a640
131ca1143736
14103669d26c
15830d9c9e0
hex4e5406b10

21026073360 has 160 divisors (see below), whose sum is σ = 68758456320. Its totient is φ = 5300467200.

The previous prime is 21026073349. The next prime is 21026073373. The reversal of 21026073360 is 6337062012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2234265 + ... + 2243655.

It is an arithmetic number, because the mean of its divisors is an integer number (429740352).

Almost surely, 221026073360 is an apocalyptic number.

21026073360 is a gapful number since it is divisible by the number (20) 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 21026073360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34379228160).

21026073360 is an abundant number, since it is smaller than the sum of its proper divisors (47732382960).

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

21026073360 is a wasteful number, since it uses less digits than its factorization.

21026073360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9917 (or 9911 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 21026073360 in words is "twenty-one billion, twenty-six million, seventy-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 491 570 760 912 982 1140 1473 1520 1964 2280 2455 2946 3928 4560 4910 5892 7365 7856 9329 9391 9820 11784 14730 18658 18782 19640 23568 27987 28173 29460 37316 37564 39280 46645 46955 55974 56346 58920 74632 75128 93290 93910 111948 112692 117840 139935 140865 149264 150256 178429 186580 187820 223896 225384 279870 281730 356858 373160 375640 447792 450768 535287 559740 563460 713716 746320 751280 892145 1070574 1119480 1126920 1427432 1784290 2141148 2238960 2253840 2676435 2854864 3568580 4282296 4610981 5352870 7137160 8564592 9221962 10705740 13832943 14274320 18443924 21411480 23054905 27665886 36887848 42822960 46109810 55331772 69164715 73775696 87608639 92219620 110663544 138329430 175217278 184439240 221327088 262825917 276658860 350434556 368878480 438043195 525651834 553317720 700869112 876086390 1051303668 1106635440 1314129585 1401738224 1752172780 2102607336 2628259170 3504345560 4205214672 5256518340 7008691120 10513036680 21026073360