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1127713813884 = 22357315346541
BaseRepresentation
bin10000011010010000111…
…110110011010101111100
310222210211022111101100000
4100122100332303111330
5121434024214021014
62222021540434300
7144321541154520
oct20322076632574
93883738441300
101127713813884
113a5296059609
121626850a8990
138245c623a08
143c82003bd80
151e503a36509
hex10690fb357c

1127713813884 has 144 divisors (see below), whose sum is σ = 3487485188096. Its totient is φ = 311810212800.

The previous prime is 1127713813867. The next prime is 1127713813903. The reversal of 1127713813884 is 4883183177211.

1127713813884 is a `hidden beast` number, since 1 + 127 + 7 + 138 + 1 + 388 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1127713813884.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2462347 + ... + 2884194.

Almost surely, 21127713813884 is an apocalyptic number.

1127713813884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1127713813884 is an abundant number, since it is smaller than the sum of its proper divisors (2359771374212).

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

1127713813884 is a wasteful number, since it uses less digits than its factorization.

1127713813884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346598 (or 5346584 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 1127713813884 in words is "one trillion, one hundred twenty-seven billion, seven hundred thirteen million, eight hundred thirteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 243 252 279 324 372 378 434 486 558 567 651 756 837 868 972 1116 1134 1302 1674 1701 1953 2268 2511 2604 3348 3402 3906 5022 5859 6804 7533 7812 10044 11718 15066 17577 23436 30132 35154 52731 70308 105462 210924 5346541 10693082 16039623 21386164 32079246 37425787 48118869 64158492 74851574 96237738 112277361 144356607 149703148 165742771 192475476 224554722 288713214 331485542 336832083 433069821 449109444 497228313 577426428 662971084 673664166 866139642 994456626 1010496249 1160199397 1299209463 1347328332 1491684939 1732279284 1988913252 2020992498 2320398794 2598418926 2983369878 3031488747 3480598191 4041984996 4475054817 4640797588 5196837852 5966739756 6062977494 6961196382 8950109634 9094466241 10441794573 12125954988 13425164451 13922392764 17900219268 18188932482 20883589146 26850328902 31325383719 36377864964 40275493353 41767178292 53700657804 62650767438 80550986706 93976151157 125301534876 161101973412 187952302314 281928453471 375904604628 563856906942 1127713813884