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21941743950 = 23252713215273
BaseRepresentation
bin10100011011110101…
…000111000101001110
32002122011021002012100
4110123311013011032
5324414041301300
614025131415530
71404510513660
oct243365070516
962564232170
1021941743950
11933a5a6a95
1243042b45a6
1320b8a65a59
1410c2138530
15886472700
hex51bd4714e

21941743950 has 144 divisors (see below), whose sum is σ = 67435389216. Its totient is φ = 5010508800.

The previous prime is 21941743949. The next prime is 21941743973. The reversal of 21941743950 is 5934714912.

21941743950 is a `hidden beast` number, since 2 + 1 + 94 + 174 + 395 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 21941743896 and 21941743905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4158514 + ... + 4163786.

It is an arithmetic number, because the mean of its divisors is an integer number (468301314).

Almost surely, 221941743950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21941743950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33717694608).

21941743950 is an abundant number, since it is smaller than the sum of its proper divisors (45493645266).

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

21941743950 is a wasteful number, since it uses less digits than its factorization.

21941743950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 21941743950 in words is "twenty-one billion, nine hundred forty-one million, seven hundred forty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1321 1575 2642 3150 3963 5273 6605 7926 9247 10546 11889 13210 15819 18494 19815 23778 26365 27741 31638 33025 36911 39630 46235 47457 52730 55482 59445 66050 73822 79095 83223 92470 94914 99075 110733 118890 131825 138705 158190 166446 184555 198150 221466 231175 237285 263650 277410 297225 332199 369110 395475 416115 462350 474570 553665 594450 664398 693525 790950 832230 922775 1107330 1186425 1387050 1660995 1845550 2080575 2372850 2768325 3321990 4161150 5536650 6965633 8304975 13931266 16609950 20896899 34828165 41793798 48759431 62690697 69656330 97518862 104484495 125381394 146278293 174140825 208968990 243797155 292556586 313453485 348281650 438834879 487594310 522422475 626906970 731391465 877669758 1044844950 1218985775 1462782930 1567267425 2194174395 2437971550 3134534850 3656957325 4388348790 7313914650 10970871975 21941743950