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4672923136 = 29731137307
BaseRepresentation
bin1000101101000011…
…10010011000000000
3110001122221002110021
410112201302120000
534032232020021
62051404543224
7223541122420
oct42641623000
913048832407
104672923136
111a8881a352
12aa4b51b14
1359617049b
14324880480
151c5399c41
hex116872600

4672923136 has 160 divisors (see below), whose sum is σ = 11131287552. Its totient is φ = 1917665280.

The previous prime is 4672923113. The next prime is 4672923163. The reversal of 4672923136 is 6313292764.

It is a junction number, because it is equal to n+sod(n) for n = 4672923092 and 4672923101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15221095 + ... + 15221401.

Almost surely, 24672923136 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 4672923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565643776).

4672923136 is an abundant number, since it is smaller than the sum of its proper divisors (6458364416).

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

4672923136 is a wasteful number, since it uses less digits than its factorization.

4672923136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 4672923136 is about 68358.7824350317. The cubic root of 4672923136 is about 1671.8457768513.

The spelling of 4672923136 in words is "four billion, six hundred seventy-two million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 137 217 224 248 256 274 307 434 448 496 512 548 614 868 896 959 992 1096 1228 1736 1792 1918 1984 2149 2192 2456 3472 3584 3836 3968 4247 4298 4384 4912 6944 7672 7936 8494 8596 8768 9517 9824 13888 15344 15872 16988 17192 17536 19034 19648 27776 29729 30688 33976 34384 35072 38068 39296 42059 55552 59458 61376 66619 67952 68768 70144 76136 78592 84118 111104 118916 122752 133238 135904 137536 152272 157184 168236 237832 245504 266476 271808 275072 294413 304544 336472 475664 491008 532952 543616 550144 588826 609088 672944 951328 1065904 1087232 1100288 1177652 1218176 1303829 1345888 1902656 2131808 2174464 2355304 2436352 2607658 2691776 3805312 4263616 4710608 4872704 5215316 5383552 7610624 8527232 9126803 9421216 10430632 10767104 15221248 17054464 18253606 18842432 20861264 21534208 34108928 36507212 37684864 41722528 73014424 75369728 83445056 146028848 150739456 166890112 292057696 333780224 584115392 667560448 1168230784 2336461568 4672923136