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3973317712 = 2471323592011
BaseRepresentation
bin1110110011010100…
…0000010001010000
3101020220111110020021
43230311000101100
531114132131322
61454133553224
7200314433440
oct35465002120
911226443207
103973317712
11175991a451
1292a7a5814
134b423b890
142999aa120
15183c544c7
hexecd40450

3973317712 has 160 divisors (see below), whose sum is σ = 10059356160. Its totient is φ = 1477301760.

The previous prime is 3973317671. The next prime is 3973317713. The reversal of 3973317712 is 2177133793.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973317713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974787 + ... + 1976797.

It is an arithmetic number, because the mean of its divisors is an integer number (62870976).

Almost surely, 23973317712 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 3973317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029678080).

3973317712 is an abundant number, since it is smaller than the sum of its proper divisors (6086038448).

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

3973317712 is a wasteful number, since it uses less digits than its factorization.

3973317712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its digits is 166698, while the sum is 43.

The square root of 3973317712 is about 63034.2582410549. The cubic root of 3973317712 is about 1583.8635502127.

The spelling of 3973317712 in words is "three billion, nine hundred seventy-three million, three hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 52 56 59 91 92 104 112 118 161 182 184 208 236 299 322 364 368 413 472 598 644 728 767 826 944 1196 1288 1357 1456 1534 1652 2011 2093 2392 2576 2714 3068 3304 4022 4186 4784 5369 5428 6136 6608 8044 8372 9499 10738 10856 12272 14077 16088 16744 17641 18998 21476 21712 26143 28154 32176 33488 35282 37996 42952 46253 52286 56308 70564 75992 85904 92506 104572 112616 118649 123487 141128 151984 183001 185012 209144 225232 237298 246974 282256 323771 366002 370024 418288 474596 493948 601289 647542 732004 740048 830543 949192 987896 1202578 1295084 1464008 1542437 1661086 1898384 1975792 2405156 2590168 2728927 2928016 3084874 3322172 4209023 4810312 5180336 5457854 6169748 6644344 8418046 9620624 10797059 10915708 12339496 13288688 16836092 19102489 21594118 21831416 24678992 33672184 35476051 38204978 43188236 43662832 67344368 70952102 76409956 86376472 141904204 152819912 172752944 248332357 283808408 305639824 496664714 567616816 993329428 1986658856 3973317712