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6041999970304 = 21219321992
BaseRepresentation
bin101011111101100001101…
…0000110001000000000000
3210101121110100220002212221
41113323003100301000000
51242443003443022204
620503353444100424
71162343251241164
oct127730320610000
923347410802787
106041999970304
111a1a441517811
12816b91694714
1334a9b187902c
1416c611c48ca4
15a7276328654
hex57ec3431000

6041999970304 has 117 divisors (see below), whose sum is σ = 12206792093013. Its totient is φ = 2990244888576.

The previous prime is 6041999970289. The next prime is 6041999970437. The reversal of 6041999970304 is 4030799991406.

The square root of 6041999970304 is 2458048.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1463906406400 + 4578093563904 = 1209920^2 + 2139648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30361808797 + ... + 30361808995.

Almost surely, 26041999970304 is an apocalyptic number.

6041999970304 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6041999970304 is the 2458048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6041999970304

6041999970304 is an abundant number, since it is smaller than the sum of its proper divisors (6164792122709).

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

6041999970304 is an frugal number, since it uses more digits than its factorization.

6041999970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 61.

The spelling of 6041999970304 in words is "six trillion, forty-one billion, nine hundred ninety-nine million, nine hundred seventy thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 193 199 256 386 398 512 772 796 1024 1544 1592 2048 3088 3184 4096 6176 6368 12352 12736 24704 25472 37249 38407 39601 49408 50944 74498 76814 79202 98816 101888 148996 153628 158404 197632 203776 297992 307256 316808 395264 407552 595984 614512 633616 790528 815104 1191968 1229024 1267232 2383936 2458048 2534464 4767872 4916096 5068928 7412551 7642993 9535744 9832192 10137856 14825102 15285986 19071488 19664384 20275712 29650204 30571972 38142976 39328768 40551424 59300408 61143944 76285952 78657536 81102848 118600816 122287888 152571904 157315072 162205696 237201632 244575776 474403264 489151552 948806528 978303104 1475097649 1897613056 1956606208 2950195298 3795226112 3913212416 5900390596 7590452224 7826424832 11800781192 15180904448 15652849664 23601562384 30361808896 31305699328 47203124768 94406249536 188812499072 377624998144 755249996288 1510499992576 3020999985152 6041999970304