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4376493990 = 2345114311423
BaseRepresentation
bin1000001001101101…
…11111111110100110
3102022000010221010000
410010312333332212
532430340301430
62002135242130
7213311404461
oct40466777646
912260127100
104376493990
111946464790
12a21819346
13549922b1b
142d735a2d8
151a9343e60
hex104dbffa6

4376493990 has 160 divisors (see below), whose sum is σ = 13137417216. Its totient is φ = 1036203840.

The previous prime is 4376493959. The next prime is 4376493997. The reversal of 4376493990 is 993946734.

It is a super-2 number, since 2×43764939902 = 38307399289012240200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4376493997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 377419 + ... + 388841.

Almost surely, 24376493990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4376493990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568708608).

4376493990 is an abundant number, since it is smaller than the sum of its proper divisors (8760923226).

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

4376493990 is a wasteful number, since it uses less digits than its factorization.

4376493990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11496 (or 11487 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 4376493990 is about 66155.0753155039. The cubic root of 4376493990 is about 1635.7193030635.

The spelling of 4376493990 in words is "four billion, three hundred seventy-six million, four hundred ninety-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 81 86 90 99 110 129 135 162 165 198 215 258 270 297 330 387 405 430 473 495 594 645 774 810 891 946 990 1161 1290 1419 1485 1782 1935 2322 2365 2838 2970 3483 3870 4257 4455 4730 5805 6966 7095 8514 8910 11423 11610 12771 14190 17415 21285 22846 25542 34269 34830 38313 42570 57115 63855 68538 76626 102807 114230 125653 127710 171345 191565 205614 251306 308421 342690 376959 383130 491189 514035 616842 628265 753918 925263 982378 1028070 1130877 1256530 1473567 1542105 1850526 1884795 2261754 2455945 2947134 3084210 3392631 3769590 4420701 4626315 4911890 5403079 5654385 6785262 7367835 8841402 9252630 10177893 10806158 11308770 13262103 14735670 16209237 16963155 20355786 22103505 26524206 27015395 32418474 33926310 39786309 44207010 48627711 50889465 54030790 66310515 79572618 81046185 97255422 101778930 132621030 145883133 162092370 198931545 243138555 291766266 397863090 437649399 486277110 729415665 875298798 1458831330 2188246995 4376493990