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46952201688 = 23373719937957
BaseRepresentation
bin101011101110100100…
…011011110111011000
311111012011211222022220
4223232210123313120
51232124230423223
633323004344040
73251343062250
oct535644336730
9144164758286
1046952201688
1118a04326077
129124245020
1345734c1282
1423b5a44960
15134c00d6e3
hexaee91bdd8

46952201688 has 128 divisors (see below), whose sum is σ = 138470784000. Its totient is φ = 12986417664.

The previous prime is 46952201687. The next prime is 46952201741. The reversal of 46952201688 is 88610225964.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46952201688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46952201687) 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, 1218006 + ... + 1255962.

It is an arithmetic number, because the mean of its divisors is an integer number (1081803000).

Almost surely, 246952201688 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 46952201688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69235392000).

46952201688 is an abundant number, since it is smaller than the sum of its proper divisors (91518582312).

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

46952201688 is a wasteful number, since it uses less digits than its factorization.

46952201688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38209 (or 38205 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 46952201688 in words is "forty-six billion, nine hundred fifty-two million, two hundred one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 199 222 259 296 398 444 518 597 777 796 888 1036 1194 1393 1554 1592 2072 2388 2786 3108 4179 4776 5572 6216 7363 8358 11144 14726 16716 22089 29452 33432 37957 44178 51541 58904 75914 88356 103082 113871 151828 154623 176712 206164 227742 265699 303656 309246 412328 455484 531398 618492 797097 910968 1062796 1236984 1404409 1594194 2125592 2808818 3188388 4213227 5617636 6376776 7553443 8426454 9830863 11235272 15106886 16852908 19661726 22660329 29492589 30213772 33705816 39323452 45320658 52874101 58985178 60427544 78646904 90641316 105748202 117970356 158622303 181282632 211496404 235940712 279477391 317244606 422992808 558954782 634489212 838432173 1117909564 1268978424 1676864346 1956341737 2235819128 3353728692 3912683474 5869025211 6707457384 7825366948 11738050422 15650733896 23476100844 46952201688